39 Consider a system with input x[n] and output y[n]. The input-output relation for the system is defined by the following two properties: 1. y[n]-ay[n 1]-x[n] 2. y[0] -1 (a) Determine whether the system is time invariant (b) Determine whether the system is linear (e) Assume that the difference equation (property 1) remains the same, but the value y[0] is specified to be zero. Does this change your answer to either Part (a) or Part (b)?
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
This topic is widely taught in many undergraduate and postgraduate degree courses of:
![2.39
Consider a system with input x[n] and output y[n]. The input-output relation for the
system is defined by the following two properties:
1. y[n]-ay[n 1]-x[n]
2. y[0] -1
(a) Determine whether the system is time invariant
(b) Determine whether the system is lincar
(c) Assume that the difference equation (property 1) remains the same, but the value
y[0] is specified to be zero. Does this change your answer to either Part (a) or Part
(b)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a524324-f3a5-4d32-b640-614d84a6f9c6%2Fd18544e3-d4b4-4e2e-a96b-0690c0e1e370%2Fi0evz4c_processed.jpeg&w=3840&q=75)
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