Lowpass Highpass Frequency Transformation Technique
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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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