H(z) to h(e^jw)

1. What is the transfer function of H JW?
2. How do you find the frequency response using Z-transform?
3. How do you find poles and zeros in Z-transform?

What is the transfer function of H JW?

H(jω) "transforms" this input signal into an output signal, with final amplitude V1=|H(jω)|V0, but it also can shift the phase of the output signal with respect to the input signal.

How do you find the frequency response using Z-transform?

The frequency response is the DTFT of the impulse response. Take the DTFT of every term, so that ax[n − n0] is converted to ae−jωn0 X(ω). Divide by X(ω). Replace x[n] by δ[n], so that ax[n − n0] is converted to aδ[n − n0].

How do you find poles and zeros in Z-transform?

Introduction to Poles and Zeros of the Z-Transform

The two polynomials, P(z) and Q(z), allow us to find the poles and zeros of the Z-Transform. The value(s) for z where P(z)=0. The complex frequencies that make the overall gain of the filter transfer function zero. The value(s) for z where Q(z)=0.