# Tagged Questions

Anything related to convolution, its properties and applications. Convolution is the mathematical operation which is used to model the time-domain I/O relationship of linear time-invariant initially-at-rest systems.

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### Analog circuit for multiplying in the frequency domain [duplicate]

I have an idea I want to experiment with - doing boolean logic with analog (OFDM) signals. Each frequency component represents a different 'bit'. A key factor is performing the AND operation. I would ...
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### Concept of convolution

I am having trouble understanding the concept of convolution. I get the mathematical idea behind it. I am able to evaluate that the convolution of the following problem is f*g(t) = {0,\ \ t <= -...
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### How to derive the solutions of the Differential Equations when using convolution?

I am currently learning convolution (which is not the easiest topic for sure). Just as by many fields in electronics also here are differential equations involved. With this (what I have seen until ...
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### Finding Filtered Output using Convolution property of Continuous Fourier Transform

why the derivative of u[t] is delta[t] ? also I don't understand why the sin term disappeared once the derivative is taken.
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### Effect on signal bandwidth due to multiplication?

Recently I came across an statement which says, If signal m(t) has bandwidth B then pow(m(t),n) will have bandwith nB. To prove it mathematically I startted with, Let n=2, y(t)= m(t)xm(t) y(t)=...
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### Checking whether the system is linear or non linear

Consider this system equation y(t)=x(t)*cos(3t). where,x(t)=input. Using the superposition theorem, we can prove that the system is linear. For input x1(t), the output is y1(t)=x1(t)*cos(3t). For ...
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### Convolution with sinusoids using convolution theorem

y(t)= h(t)*x(t) where h(t) is a decaying exponential and x(t)= sin(5t) u(t). Find y(t) using convolution theorem. I'm confused about the sine wave. If i write sinusoid in exponential form then I get ...
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### Unit input response - LTI sysem

Let S1 and S2 be 2 LTI systems with responses to the unit impulse given by $g_1(t)$ and $g_2(t)$.Consider that we associate S1 and S2 .Knowing that $g_1(t)=e^{-t}u(t)$ (u is the heavside ...
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### Proof: A strictly bandlimited signal must also be a signal of infinite time duration [duplicate]

How can I show that a bandlimited signal is also of infinite time duration? I know it has to do with Fourier transforms and convolution but I'm not sure how to actually prove it. I also know that the ...
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### How does this Matlab code work?

I came across this uncommented Matlab code except for the header: ...
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### How to apply fourier transform to $0.5^n u(n)$

I'm working in a signals class for continuous signals, and we have this problem shown above. I have tried using this function $f_1*f_2 = F_1 * F_2$, where I'm assuming this means multiplication of ...
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### Convolution perfomed by an analog circuit

As a Electronic Engineering student I have a fair knowledge about convolution and DSP. But, I was wondering if it is possible to perform a convolution only using analog circuit (without memory)? And ...
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### Termination of a convolutional encoder vs. state register reset

Usually, when designing a convolutional encoder for a transmitter, some sort of termination mechanism is applied to drive the encoder back to its zero-state after a message was transmitted. This is ...