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### How do I show an impulse response leads to a zero-phase frequency response?

I'm trying to understand how to show that with real coefficients, the phase response of a filter is 0. Here is the impulse response $h[n] = b_1d[n+1] + b_0d[n] + b_1d[n-1]$ How should I approach ...
983 views

### Does the impulse response of a system have any physical meaning?

In other words, what does the impulse response tell us about the characteristics of the system? For simplicity, let's assume we deconvolve a discrete output and a discrete input to obtain an impulse ...
16k views

### For an LTI system, why does the Fourier transform of the impulse response give the frequency response?

I know that for a given system, the Fourier transform of its impulse response gives its frequency response. I want to find where this property comes from, but haven't been able to find if it's a ...
3k views

### Why do we always characterize a LTI system by its impulse response?

Why do we always characterize a LTI system by its impulse response and not by another response, like the step response? What does the impulse response have that is so special?
89 views

### Difference between transfer function and frequency response? [duplicate]

AFAIK both represent the ratio of the output response $Y(j\omega)$ to the input excitation $X(j\omega)$: $$H(j\omega)=\frac{Y(j\omega)}{X(j\omega)}$$ Are there any difference?
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### Can I use Fourier transforms instead of Laplace transforms (analyzing RC circuit)?

I don't study electrical engineering or something related but I was assigned a problem on transfer functions, impulse responses, and in general, everything related to this post. (Specifically, I'm ...
356 views

### Basic question: Why is the output of a system the convolution between the impulse response and the input?

I forgot a very simple fact and I am now struggling to find reference that proves this basic property? How would you prove that for a single in single out system, the system output is the impulse ...
2k views

### What is meant by Impulse Response [duplicate]

I have read in all books that: Impulse(n) = 1 when n=0 , 0 otherwise So when we state impulse response of signal x(n) I do not understand what is its actual ...