Pearson eText for Electrical Engineering: Principles & Applications -- Instant Access (Pearson+)
7th Edition
ISBN: 9780137562855
Author: Allan Hambley
Publisher: PEARSON+
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9-2) similar to Lathi & Ding, Prob. P.5.2-1
A compact disc (CD) records audio signals digitally by using PCM. Assume that the audio signal
bandwidth equals 15 kHz.
(a) If the Nyquist samples are uniformly quantized into L = 65, 536 levels and then binary-coded,
determine the number of binary digits required to encode a sample.
(b) if the audio signal has a peak voltage of ±1V and an average signal
power of 0.1 V2, find the resulting ratio of signal to quantization noise
(SQNR) for the system.
(c) Determine the number of binary digits per second (bit/s) required to encode the audio signal.
(d) For practical reasons discussed in the text, signals are sampled at a rate well above the Nyquist
rate. Practical CDs use 44,100 samples per second. If L = 65,536, determine the number
of bits per second required to encode the signal and the minimum bandwidth required to
transmit the encoded signal.
12.1 Evaluate each of the following integrals:
(a) G₁ =√(31³ −4t²+3)[8(t) +28(t − 2)] dt.
(b) G2=2(e³t +1)[8(t) −28(t − 2)] dt.
16
(c) G3 = √124t sin(2лt) − 1][§(t − 1)+8(t −6)] dt.|
12.3 Express each of the waveforms in Fig. P12.3 (on page667) in terms of step functions and then determine its Laplacetransform. [Recall that the ramp function is related to thestep function by r(t − T) = (t − T) u(t − T).] Assume that allwaveforms are zero for t < 0.
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