4) For the sinusoidal signal m(t) = 2 sin(1000xt+ 0.055), shown quantized and then encoded using the PCM technique. If a uniform 8 levels and a dynamic range [-2, 2], is used (a) Calculate the first 4 quantized samples and the associated quantization errors. (b) Calculate the maximum quantization error (c) Calculate the signal-to-quantization- noise ratio. (d) Calculate the resultant bit rate. (e) If it is required to increase the signal-to-quantization-noise ratio by 6 dB, how many quantization levels should be used in this case? What is the ratio between the new bit rate and the previous bit rate? down, is sampled, quantizer, with Altmor fater in

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4) For the sinusoidal signal m(t) = 2 sin(1000xt+ 0.055), shown down, is sampled,
quantized and then encoded using the PCM technique. If a uniform quantizer, with
8 levels and a dynamic range [-2, 2], is used
(a) Calculate the first 4 quantized samples
(b) Calculate the maximum quantization
noise ratio.
and the associated quantization errors.
error (c) Calculate the signal-to-quantization-
ital
(d) Calculate the resultant bit
(e) If it is required to increas the signal-to-quantization-noise ratio by 6 dB, how
many quantization levels should be used in this case? What is the ratio between the
new bit rate and the previous bit rate?
Armo
Che
namiction
msec
Transcribed Image Text:4) For the sinusoidal signal m(t) = 2 sin(1000xt+ 0.055), shown down, is sampled, quantized and then encoded using the PCM technique. If a uniform quantizer, with 8 levels and a dynamic range [-2, 2], is used (a) Calculate the first 4 quantized samples (b) Calculate the maximum quantization noise ratio. and the associated quantization errors. error (c) Calculate the signal-to-quantization- ital (d) Calculate the resultant bit (e) If it is required to increas the signal-to-quantization-noise ratio by 6 dB, how many quantization levels should be used in this case? What is the ratio between the new bit rate and the previous bit rate? Armo Che namiction msec
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