Finding the frequency response $H(\omega)$ of a shifted sinc function

1. How do you find the frequency response of a signal?
2. How do you find the frequency response of a LTI system?
3. How do you find the frequency of FFT?

How do you find the frequency response of a signal?

First we substitute s = jω into H(s) to obtain an expression of the frequency response. Note that the numerator and the denomator are both complex. To obtain the amplitude response, we take the absolute value of H(jω). To do this, we evaluate the magnitude of the numerator and the denominator separately.

How do you find the frequency response of a LTI system?

−jΩm = C(Ω) − jS(Ω) = H(Ω) . , where H(Ω) is the frequency response of the LTI system. The system therefore produces an output signal that is the “3-point weighted moving average” of the input.

How do you find the frequency of FFT?

Let X = fft(x) . Both x and X have length N . Suppose X has two peaks at n0 and N-n0 . Then the sinusoid frequency is f0 = fs*n0/N Hertz.