4) For the sinusoidal signal m(t) = 2 sin(1000πt + 0.0557), 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 and the ciated quantization errors. (b) Calculate the maximum quantization error (c) Calculate the signal-to-quantization- noise ratio. (d) Calculate the resultant bit rate. italicio (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? msec
4) For the sinusoidal signal m(t) = 2 sin(1000πt + 0.0557), 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 and the ciated quantization errors. (b) Calculate the maximum quantization error (c) Calculate the signal-to-quantization- noise ratio. (d) Calculate the resultant bit rate. italicio (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? msec
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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Question
![4) For the sinusoidal signal m(t) = 2 sin(1000πt + 0.0557), 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 and the
ciated quantization errors.
(b) Calculate the maximum quantization error (c) Calculate the signal-to-quantization-
noise ratio.
(d) Calculate the resultant bit rate.
italicio
(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?
msec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2d03c5f-7663-4eaf-a196-c36ca92463c0%2Fa001fbe4-7d93-483e-8f49-c2701ad9668f%2Fh4s4rd6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4) For the sinusoidal signal m(t) = 2 sin(1000πt + 0.0557), 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 and the
ciated quantization errors.
(b) Calculate the maximum quantization error (c) Calculate the signal-to-quantization-
noise ratio.
(d) Calculate the resultant bit rate.
italicio
(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?
msec
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