# Questions tagged [convolution]

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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### The term Feed-forward and its meaning?

I am trying to understand the technical meaning of the term 'feed-forward', when and where it can be used and where it cannot be used? I have seen this term in various different areas. For example: ...
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### Change of variable from t to $\tau$ during convolution

I am not able to understand that in the standard convolution formula how we can change the variable from t to $\tau$. $$\int{x(\tau)\cdot h(t-\tau)d\tau }$$ Isn't this incorrect mathematically?
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### Determine the impulse response of the following discrete system

I'm not sure how they got the answer (provided below) for the following discrete system y[n] = x[n]- 2x[n-2]+ x[n-3]- 3x[n-4] the answer is given as .... h[n] = [1 0 -2 1 -3] why is this? any help ...
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### Brute-force convolution reverb in FPGA

I'm completely new to the world of FPGAs, and would like to get a sense of what is possible to achieve, and since I happen to have an interest in convolution reverb algorithms, I will use that example....
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### How to construct a LTI system with a specific impulse response function, say $h(t) = \delta '(t)$?

I want to ask the question on a generic basis, but using $h(t) = \delta '(t)$ as my example. I have Mathematical knowledge on the LTI system, but no hands on experience. In real life, how can we ...
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### Define LTI system from a single input output pair

I am currently studying signals and systems, and am learning about LTI systems right now. I know any LTI system whose impulse response is known can be completely defined through the use of the ...
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### What is the transfer function of an ideal buffer in time domain?

Convolution is is defined as the integral of the product of the two functions after one is reversed and shifted. And in a system where its transfer function is g and the input is f, the output is the ...
758 views

### 2D convolution on 32x32 grayscale image on FPGA using verilog for inference of CNN

Hi I am new to the world of convolutional neural networks and would like to implement a 2D convolution operation using the sliding window approach on a xilinx FPGA. The input to the image is a 32x32 ...
657 views

### Square wave autocorrelation integral

Given the following square wave signal g(t) : I'm trying to find the $R(\tau)$ of this signal, but I'm confused about how to solve the integral. In the signal above, the red square wave is the ...
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### convolution of $e^{-t}$ and 1-t

I cannot solve the convolution based on $h= e^{-t}$ for $t\ge0$ and $u(t) = 1-t$ when $0 \le t \le1$. Every time I try I keep getting a factor with $te^{-t}$ whilst the answer shows: ...
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### Convolution with two unbounded signals

So I have a convolution problem. I have two signals: I need to find the output, y(t), through graphical convolution. So I set the convolution integral up like this: $$\int h(\tau)*x(t-\tau)d\tau$$...
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### Fourier Transform - convolution theorem

I have been studying the Fourier Transform and the convolution theorem is not clear to me. Sometimes, I see this: But other times I see this: Which one is correct? Where is this constant factor ...
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### Multiplication and convolution

We know that squaring a signal doubles its bandwidth. Can you please justify this case in time domain for non sinusoid signals,say Rect(t/T)? On squaring the signal i don't see any changes in tine ...
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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 ...