Math or Mathematics is the abstract study of topics such as quantity (numbers), structure, space, and change.

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57 views

Distinguishing between FIR and IIR filters from transform function

I was good at this but unfortunately I have forgot almost everything...So the question is what are the steps to tell if a transform function is for IIR or FIR filter: $$H(z) = ...
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0answers
21 views

Return Loss \$ (S_{11} ) \$ Equation for a nth-order Chebyshev Type 2 Filter [duplicate]

I need an closed form equation for the return loss \$ S_{11} \$ of an n-th order Chebyshev Type 2 low-pass prototype filter. I am designing a high power RF (lumped element) n-th order Chebyshev Type ...
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1answer
30 views

Return Loss \$ (S_{11}) \$ Equation for a nth-order Butterworth Filter

I need a closed form equation for the return loss \$ ~S_{11}~\$ of an n-th order Butterworth low-pass prototype filter. I am designing a high power RF (lumped element) n-th order Butterworth bandpass ...
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1answer
60 views

So how do control engineers control nonlinear plant with exponential output?

Say that a system (circuit, pump, population model, etc.) has a exponential output of the type $$y = ae^{bx}$$ What do control engineers do in order to achieve control objectives such as tracking and ...
2
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2answers
63 views

Low Voltage AC Smoothing Capacitor Calculation

I have a 9V AC source which will have a max load of 100mA. I'm trying to figure the value of a smoothing capacitor with less than a 10% ripple. I don't have a scope or else I'd just try a bunch out. ...
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1answer
38 views

Complex multiplication identity

From my EM theory book: I have the solution for this problem, but I don't even understand the first step. How does V = r+jx => v(t) = rcos(wt) - xsin(wt)??
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1answer
47 views

Control Engineering: Model parameter estimation for a motor which will be under various loads

I am creating a closed loop controller for a motor which is part of a robotic arm. I give it a required angle, the controller calculates a control input, the motor moves, a pot feedbacks the angle, ...
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0answers
55 views

multiplication using Carry-Save with Radix-4 Booth’s Recoding

I'm student working in multiplication using Carry-Save with Radix-4 Booth’s Recoding.I want to implement its design into a verilog code. what is actually the Extra dot ?? where the output of the ...
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0answers
57 views

Circuit theory for mathematician [closed]

I have background in math and physics and would like to learn circuit theory. I know the bare basics of DC circuits. Can anyone recommend resources for learning circuit theory that are written in a ...
1
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1answer
58 views

Control Engineering: Why are the Equation Error and Output Error different?

When modelling a system you must first estimate the form of the transfer function (order, time delay etc.), and then estimate the parameters (coefficients for the transfer function). A common way to ...
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0answers
27 views

Stablization of a $w$-system

I have the following system to be stabilized: \begin{equation} \begin{aligned}\dot{w}=Aw+Bv \\& A=\left( \begin{array}{ccc} 1 & 1 & 2 \\ 1 & 2 & 3 \\ 1 & 2 & 0 \\ ...
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2answers
94 views

How come you cannot determine the capacitance of a MOSFET gate based on the other supplied values on the datasheet?

Conjecture If it's the case that $$ Cg = {Qg \over Vg} $$ It must be the case that $$ (Ciss + Coss + Crss)Vg = Qgon $$ But it turns out that it is not. I don't understand what I'm missing. I ...
3
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1answer
113 views

Half Adder and Two Function, A Contest Questions?

I ran into a 2013 contest question on computer-science filed. What is the following True about F and G function. (The output ...
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0answers
70 views

Gyroscope sensor modeling understand

I'm trying to understand the gyroscope sensor model equation from this tutorial It says all sensor can be linearly modeled like this: and Sensitivity of sensor X-axis to X-axis inputs (Sx) ...
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2answers
68 views

Required math for setting up a laser diode

I'm new to electronics and come from a software background. Recently I got a laser diode that I would like to use with my arduino. The manufacturer says it is 5mW and draws 2.8-5.2V. I'd like to ...
3
votes
1answer
86 views

adding two 64-bits number with m-bit carry ripple adder and multiplexer, a questions?

I ran into a question from computer architecture class. The professor says that for adding two 64-bit numbers A and B we use m-bit carry ripple adders and multiplexers such as following: and that ...
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2answers
117 views

Understanding use of accelerometers to measure angular (rotational?) accelerataion

Imagine this: A rod is attached at one end to a rotating shaft. So, as the shaft rotates from 0 to 90 degrees back-and-forth (in the xy plane), so does the rod. My goal is to measure the instantaneous ...
2
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2answers
195 views

How do electrical engineers actually apply control theory in real life?

I am currently taking a course in control theory. In control theory the system or impulse response is usually an algebraic expression in Laplace domain. Much of the work done in school is to find ...
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1answer
77 views

Calculating the gauge of wire required for the secondary in a Tesla Coil

I am looking to build a small Tesla Coil at home with limited supplies. I am reasonably confident (well.. as confident as a biologist can be!) with my calculations so far, however I have hit a mental ...
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0answers
29 views

What are the switching frequency and inductance implications of IEEE 519?

A simple power supply composed of a diode rectifier and filter caps has significant harmonic content. The line distortions caused by such equipment can have impact on other power utility customers and ...
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0answers
76 views

Current/Torque - curve for an ASM

There is this exercise where I don't have a clue how to get the solution. It's about asynchronous machines, where with the help of field coordinates the string currents (istr) are split up into ...
-1
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1answer
53 views

Just need to check if this equation correspond to this block diagram

$$y(n)=y(n-1)-ax(n-1)$$ Is this correct? Thanks in advance.
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1answer
51 views

Uncertainity Calculation

> How can i calculate the absolute uncertainty dt in the following case T=(P/A)^1/4 if ...
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2answers
135 views

Question about the derivation of RC Filters frequency cutoff

We've learned that the operation in RC filters depends on how the capacitor reacts to different frequencies, in other words, the capacitative reactance. The input is applied in series with a ...
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1answer
118 views

Why is the complex representation of voltage V*cos(wt + phi) when driven by a sinusoid? Shouldn't a sinusoidal voltage be represented by sin function?

A voltage across a circuit component at time t can be calculated by $$V*sin(\omega t + \phi)$$ however in my book when it introduces complex numbers to represent voltages it states a voltage ...
1
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1answer
356 views

Calculating single phase load from 3 phase power measurements

I need to record kW & kWh for individual phases on a circuit that has a 3 phase power meter that outputs the following data: Total for all three phases: kW kWh kVA kVAr power factor ...
4
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1answer
195 views

Understanding The Art of Electronics mathematical explanation for capacitors

The author mentions that the reader should not worry if they cannot keep up with the mathematics, I however feel uncomfortable doing so. The issue is the fact that the author does not explain what the ...
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0answers
50 views

Open-source Netlist

I am looking for a site (or a kind reader) that provides open-source netlists that contain constraints with mathematical expressions (such as Delay). I need the mathematical expressions as well as the ...
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2answers
77 views

How to find z to power for a given complex number? [closed]

I've been assigned the following exercise: This is how far I got: $$z = \frac{[ (1+\sqrt{3})+ i (\sqrt{3}-1 )]}{2}$$ How can I proceed?
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1answer
98 views

What is the LCCDE equation of this block diagram

I cant find the LCCDE equation of this system ı try to reduce but thing will get compliceted
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0answers
152 views

Memristor equations

I was working with memristors and wondering about their equations. If the memristor resistance(or memristance) is based on the amount of charge, the memristance should equal: $$M(t)=\int(C(t))dt$$ or ...
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2answers
149 views

Is the cut-off frequency for each high order butterworth filter the same or different?

From reading I see that I can calculate my cut-off frequency for a given Butterworth filter using the equations below. Let's say then that I have a 8th order filter, and I'm going to make it out of ...
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2answers
133 views

High Order Butterworth Filter Math

I'm trying to learn more about high order filter design, with my goal being to design an 8th order Butterworth lowpass filter in spice, then in the real world. I've been reading a filter book I have ...
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0answers
92 views

In the under-damped RLC Circuit, one constant is imaginary, but there can't be imaginary current

I'm just learning about RLC circuits and all the math makes sense, but one thing has been bothering me. In the derivation of the equation for a underdamped, series RLC, the roots to the ...
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1answer
93 views

Time domain of a Sine wave?

I am working on a lab in school with a common source JFET amplifier, and I needed to express \$v_{out}\$ in terms of time domain. If \$f\$ is the frequency and \$T\$ is the period, then I need ...
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2answers
111 views

How does Decimal Mode in an ALU work?

Trying to wrap my head around the basic of how to do decimal addition in an ALU. Here is what I have so far. I am primarily looking at the MOS 6502 CPU architecture. It has two modes in which you ...
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2answers
361 views

How do you do operations on large numbers using a small fixed-width ALU?

I am wanting to design a simple calculator like what you would find in the dollar store. Something like this: This little guy can display a number 8 digits long, meaning 99999999 is the largest ...
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2answers
112 views

how to express y(t) as function of x(t) from a given two signal?

is there a simple way to answer ? I couldn't do it by finding the equation of the two signal and then proceed like any problem in math
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1answer
46 views

exam problem finding impulse response from a given system? [closed]

I search but i did't find useful way to answer it please how to get the impulse response from a given given system
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1answer
69 views

Complex numbers manipulation

I have a complex number s of the form s=[1/sqrt(NN\$_{t})] e^{j\phi_{k}}\$ S\$_{o}\$ is another complex number. It is given that |s-s\$ _{o}\$|<= \$\epsilon\$ where 0< \$\epsilon\$< 2 It ...
0
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1answer
98 views

OLA adder and signed digit vhdl design problem

I have implemented the following online adder for signed digit using vhdl code and I have simulated my design according to the example table shown in the figure attached the problem is I am not ...
0
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1answer
52 views

Calculating resistor wire properties for my projects

I have a few things I wanna do with the resistor wire. They all involve getting approximate temperature using known voltage. I understand that temperature heavily depends on environment, but what I ...
0
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2answers
124 views

Online arithmetic with radix 2 addition

I am having trouble working with OLA(online arithmetic addition) radix 2 SD(signed digit) addition MSDF(most significant digit first). If I have an 8 bits range unsigned number and a redundant and ...
2
votes
2answers
241 views

Magnetometer tilt compensation without accelerometer

I need to use the magnetometer in a device to accurately determine how many degrees the user twists (rotates in x-y plane) it. I don't care about absolute orientation, just the angular delta. Of ...
0
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1answer
161 views

Any Way of Converting Several 2-Port S-Parameters Measurement to 4-Port S-Parameters

I have a bi-driectional coupler and attenuator (att) in which I would like to capture its s-parameters: So I measured 2-port s-parameters between ports 1 & 2, 1 & 3, 1 & 4, 2 & 3, 2 ...
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1answer
57 views

Fourier Transform involving frequency differentiation property

Going through some past exams, I've came across this question; To get started, I've noticed that it resembles to the frequency differentiation property; Now, the differentiation was extremely ...
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2answers
90 views

Fourier Transform help

I have this question here, which I am unsure of my final answer: Firstly, I times the numerator and denominator by the conjugate 1-jt - resulting me in the alternate form of the function Next, I've ...
2
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3answers
280 views

Fourier Transform of a half triangle

I have to derive the Fourier transform of a half triangle which is shown here: So far I got the equation of the line as 1-t/T, and now I think that I have to substitute into the Fourier transform ...
2
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2answers
311 views

Check my math: Calculating the size of extension cord needed

I think I've done this right, but I don't trust myself. Will you check my math and see if I'm right about this, or correct my error if I'm wrong? The facts I have a device (A Yamaha Stagepas 400i ...
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2answers
76 views

FWHM of something which does not reach half of maximum?

There is some curve for which I have find FWHM. But the curve does not reach half maximum i.e., its maximum is 1 and it only reaches .7 (but it does have the bell curved shape the filters have). Right ...