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Explain linear filtering interpretation of short-time spectrum Analysis with suitable block diagram

Subject: Speech Processing

Topic: Speech Analysis in Time Domain

Difficulty: Low

1 Answer
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(i) The second interpretation of the equation $$ x_s(e^{jw}) = \sum_{m= -\infty}^{\infty} x(m)w(n-m)e^{-jwn} $$ is linear filtering or convolution.

(ii) It is also evident from the equation that of every value of w, $ x_n(e^{jw}) $ is nothing but the convolution of the sequence w(n) with the sequence $ x(n)e^{-jwn} …

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