Show quantization error, Electrical Engineering

Assignment Help:

Quantization Error

Sampling followed by quantization is equivalent to quantization followed by sampling. Figure illustrates a message signal f (t) and its quantized version denoted by fq(t). The difference between fq(t) and f (t) is known as the quantization error εq(t),

εq (t) = fq (t) - f(t)

Theoretically, fq(t) can be recovered in the receiver without error. The recovery of fq(t) can be viewed as the recovery of f (t) with an error (or noise) εq(t) present. For a small δv with a large number of levels, it can be shown that the mean-squared value of εq(t) is given by

1894_Show Quantization Error.png


When a digital communication system transmits an analog signal processed by a uniform quantizer, the best SNR that can be attained is given by

2359_Show Quantization Error1.png

where S0 and Nq represent the average powers in f (t) and εq(t), respectively. When f (t) fluctuates symmetrically between equal magnitude extremes, i.e., -|f(t)|max ≤ f(t) ≤ |f(t)|max, choosing a sufficiently large number of levels L, the step size δv comes out as

843_Show Quantization Error2.png

It can be seen that messages with large crest factors will lead to poor performance.

1811_Show Quantization Error3.png


Related Discussions:- Show quantization error

Grade of service in loss systems, Q. Grade of Service In loss systems? ...

Q. Grade of Service In loss systems? Grade of Service : In loss systems, traffic carried by the network is normally lower than actual traffic offered to the network by subscri

What do you mean by star topology, Q. What do you mean by Star Topology? ...

Q. What do you mean by Star Topology? Star Topology: In Star topology, all user nodes are connected to central node point that interconnects all individual users' links and nod

Give homogeneous matrix quation for b-splive curve, What are the different ...

What are the different kinds of surface entities used in CAD? Give homogeneous Matrix form equation for : (i) B-Splive Curve (ii) Bezier Curve

Explain the nand gates - microprocessor, Explain the NAND Gates - Microproc...

Explain the NAND Gates - Microprocessor? The NAND GATE is a AND gate with the output inverted. Consequently the outputs of a NAND gate would be the opposites of the outputs of a A

Counters, i need a counter of following o/p truth table 00000000 10000000 1...

i need a counter of following o/p truth table 00000000 10000000 11000000 11100000 11110000 11111000 11111100 11111110 11111111 00000000 10000000 . . . so please suggest me some IC

Complement method of binary subtraction , complement method of binary subtr...

complement method of binary subtraction This  method is  used for  subtraction  as subtraction is  converted to addition. Use following  steps  to perform  subtraction ;

Explain ferrites and its uses in high frequency devices, Explain ferrites a...

Explain ferrites and its uses in high frequency devices. A group of magnetic alloys show the property of magnetisation that change, with percentage of various constituent atoms

Evaluate the four parameters of the hybrid model, Q. Show that any amplifie...

Q. Show that any amplifier represented by the model of Figure of the text can also be represented by themore general hybridmodel of Figure. Evaluate the four parameters of the hybr

Constant frequency system, Constant Frequency System In this  system c...

Constant Frequency System In this  system chopping period  T is kept constant but the  on time T om is varied. This  system is also referred to pulse with modulation or time

Explain the or gates - microprocessor, Explain the OR Gates - microprocesso...

Explain the OR Gates - microprocessor? The OR GATE has high or logic 1 output if any of the inputs are high. The output Q is true if input A OR input B is true (or both of t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd