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

If a feeder circuit-breaker trips what action is required, Q. If a feeder c...

Q. If a feeder circuit-breaker trips, what action is needed? Ans: First isolate the faulty feeder check the faulty area on which fault the breaker was tripped (open circuit,

State the advanatages of GPS system, Advanatages of GPS system These s...

Advanatages of GPS system These systems have been developed to mimic the knowledge and expertise of an expert in a particular field. For instance: -  prospecting for minera

Give some applications of manganin, Give some applications of manganin. ...

Give some applications of manganin. Manganin is alloy of nickel, copper and manganese. This is used shunts in measuring instruments, for making their coils and for making pr

Cro, why is delay line used in vertical deflection on systems of CRO?

why is delay line used in vertical deflection on systems of CRO?

Three byte instruction , Three byte instruction The  instruction which...

Three byte instruction The  instruction which  have 16  bit data address  as its  operand  are three byte  instruction. They  need three  memory  locations to store  them in m

Visual presentation of an electrical network, Visual Presentation of an Ele...

Visual Presentation of an Electrical Network: The second layer corresponds to the distribution network coverage. The low voltage system and customer supply points along with l

Laplace transform, 1. Find the general solution y(t) of the ordinary di ere...

1. Find the general solution y(t) of the ordinary di erential equation where ω is a non-negative constant. (Consider the ω = 0 and ω > 0 cases separately). 2. Use Laplac

Limitations, Limitations: 1. Silicon transistors do not function at vo...

Limitations: 1. Silicon transistors do not function at voltages much higher than about 1,000 volts (SiC devices can be worked as high as 3,000 volts). In difference, electron

Buffer - introduction to microprocessors, Buffer A buffer  is a logic c...

Buffer A buffer  is a logic circuit that  amplifies the current or power.  Basically it is used  change the driving  capability  of a logical  circuit. Therefore  it is  someti

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