What is the frequency response of the analog filter corresponding to the ideal interpolator?(a) H(F)=\(\begin{cases}T, |F|≤ \frac{1}{2T} = F_s/2\\0,|F| > \frac{1}{4T}\end{cases}\)(b) H(F)=\(\begin{cases}T, |F|≥ \frac{1}{2T} = F_s/2\\0,|F| > \frac{1}{4T}\end{cases}\)(c) H(F)=\(\begin{cases}T, |F|≤ \frac{1}{2T} = F_s/2\\0,|F| > \frac{1}{2T}\end{cases}\)(d) H(F)=\(\begin{cases}T, |F|≤ \frac{1}{4T} = F_s/2\\0,|F| > \frac{1}{4T}\end{cases}\)I had been asked this question by my college professor while I was bunking the class.I'd like to ask this question from Digital to Analog Conversion Sample and Hold in portion Sampling and Reconstruction of Signals of Digital Signal Processing

What is the frequency response of the analog filter corresponding to t

1.	What is the frequency response of the analog filter corresponding to the ideal interpolator?(a) H(F)=\(\begin{cases}T, \|F\|≤ \frac{1}{2T} = F_s/2\\0,\|F\| > \frac{1}{4T}\end{cases}\)(b) H(F)=\(\begin{cases}T, \|F\|≥ \frac{1}{2T} = F_s/2\\0,\|F\| > \frac{1}{4T}\end{cases}\)(c) H(F)=\(\begin{cases}T, \|F\|≤ \frac{1}{2T} = F_s/2\\0,\|F\| > \frac{1}{2T}\end{cases}\)(d) H(F)=\(\begin{cases}T, \|F\|≤ \frac{1}{4T} = F_s/2\\0,\|F\| > \frac{1}{4T}\end{cases}\)I had been asked this question by my college professor while I was bunking the class.I'd like to ask this question from Digital to Analog Conversion Sample and Hold in portion Sampling and Reconstruction of Signals of Digital Signal Processing
Answer» Correct answer is (c) H(F)=\(\begin{CASES}T, \|F\|≤ \frac{1}{2T} = F_s/2\\0,\|F\| > \frac{1}{2T}\END{cases}\) The explanation: The analog filter CORRESPONDING to the IDEAL interpolator has a frequency response: H(F)=\(\begin{cases}T, \|F\|≤ \frac{1}{2T} = F_s/2\\0,\|F\| > \frac{1}{2T}\end{cases}\), H(F) is the Fourier transform of the interpolation function g(t).

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