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2. In some cases, matched filter receivers can be difficult and expensive to build. To correctly implement a matched filter receiver for FSK signaling, for example, it is necessary to know the phase of the carrier signal. This can be estimated from the noisy incoming signal, but errors in that estimate will affect the receiver performance. In some cases, noncoherent receivers may be preferable because they can be implemented with much simpler circuitry. A noncoherent FSK receiver involves a pair of bandpass filters and a pair of envelope detectors, and it does not require knowledge of the phase of the carrier signal. The noncoherent FSK receiver has the following BER (assume no signal attenuation, i.e., a = 1): 1 E, Ре e¯2No. 2 Plot the BER of this receiver as a function of the SNR (in dB). On the same plot, show the BER of the matched filter FSK receiver. At a BER of 10-4, how much stronger do we E No need the SNR to be if we wish to use the noncoherent receiver?

2. In some cases, matched filter receivers can be difficult and expensive to build. To correctly implement a matched filter receiver for FSK signaling, for example, it is necessary to know the phase of the carrier signal. This can be estimated from the noisy incoming signal, but errors in that estimate will affect the receiver performance. In some cases, noncoherent receivers may be preferable because they can be implemented with much simpler circuitry. A noncoherent FSK receiver involves a pair of bandpass filters and a pair of envelope detectors, and it does not require knowledge of the phase of the carrier signal. The noncoherent FSK receiver has the following BER (assume no signal attenuation, i.e., a = 1): 1 E, Ре e¯2No. 2 Plot the BER of this receiver as a function of the SNR (in dB). On the same plot, show the BER of the matched filter FSK receiver. At a BER of 10-4, how much stronger do we E No need the SNR to be if we wish to use the noncoherent receiver?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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2. In some cases, matched filter receivers can be difficult and expensive to build. To correctly implement a matched filter receiver for FSK signaling, for example, it is necessary to know the phase of the carrier signal. This can be estimated from the noisy incoming signal, but errors in that estimate will affect the receiver performance. In some cases, noncoherent receivers may be preferable because they can be implemented with much simpler circuitry. A noncoherent FSK receiver involves a pair of bandpass filters and a pair of envelope detectors, and it does not require knowledge of the phase of the carrier signal. The noncoherent FSK receiver has the following BER (assume no signal attenuation, i.e., a = 1): 1 E, Pe 2No e 2 Plot the BER of this receiver as a function of the SNR (in dB). On the same plot, show the BER of the matched filter FSK receiver. At a BER of 10-4, how much stronger do we E No need the SNR to be if we wish to use the noncoherent receiver?
Transcribed Image Text:2. In some cases, matched filter receivers can be difficult and expensive to build. To correctly implement a matched filter receiver for FSK signaling, for example, it is necessary to know the phase of the carrier signal. This can be estimated from the noisy incoming signal, but errors in that estimate will affect the receiver performance. In some cases, noncoherent receivers may be preferable because they can be implemented with much simpler circuitry. A noncoherent FSK receiver involves a pair of bandpass filters and a pair of envelope detectors, and it does not require knowledge of the phase of the carrier signal. The noncoherent FSK receiver has the following BER (assume no signal attenuation, i.e., a = 1): 1 E, Pe 2No e 2 Plot the BER of this receiver as a function of the SNR (in dB). On the same plot, show the BER of the matched filter FSK receiver. At a BER of 10-4, how much stronger do we E No need the SNR to be if we wish to use the noncoherent receiver?
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