What is the relationship between the impulse response h[n] of a system and its frequency response H($$e^ {jω}$$​) ?

Correct option is A

For a discrete-time LTI system:

• The impulse response is h[n].

• The frequency response is obtained by taking the Discrete-Time Fourier Transform (DTFT) of h[n].​​

​$$H(e^{j\omega}) = \sum_{n=-\infty}^{\infty} h[n] e^{-j\omega n}$$

Thus, the frequency response describes how each frequency component of the input is affected by the system.

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