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Lowpass Highpass Frequency Transformation Technique

Question

  • Show that the z → -z-1 frequency transformation coverts a lowpass filter HL(z) to a highpass filter

HH(z) = HL(-z-1)

  • The speech scrambler utilizes the modulation sequence [+1, -1, +1, -1, +1, -1, +1, -1,…] for the redistribution of frequency components. The z → -z-1 is a lowpass-highpass frequency transformation technique. Compare these two methods and identify the similarities and differences.

Summary: This question belongs to Fourier series in engineering mathematics and discusses about frequency transformation that coverts a lowpass filter to a highpass filter.

Total word count: 162

 

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