Answered: Practically, the de-emphasis filter in…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Practically, the de-emphasis filter in an FM receiver unit is often a simple resistance-capacitance (RC) circuit with transfer function.

H_de(f)=1/(1+j2πfRC)

i) Determine the 3-dB bandwidth and equivalent bandwidth.

ii) Presume the modulating signal has bandwidth W, the carrier amplitude is A, and the single-sided power spectral density of the white Gaussian noise is N0. Solve for the noise power at the output of the de-emphasis filter circuit.

iii) Find the noise power without the de-emphasis filter.

iiii) Supposing RC = 6 × 10−5, and W = 15 kHz. Calculate the improvement in the output signal-to-noise ratio (SNR) provided by the de-emphasis filter. Express it in decibel (dB).

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