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Design a high pass FIR filter to meet the following specifications. Provide all equations needed to...

Design a high pass FIR filter to meet the following specifications. Provide all equations needed to produce the filter's impulse response.

Pass band: 14.66 - 22 kHz

Stop band rejection: min 40 dB

Pass band ripple: max. 5%

Sampling frquency: 48 kHz

Use either a Hamming, Hann or Kaiser window.

Derive the first three filter coefficients.

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