Show quantization error, Electrical Engineering

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

Posted Date: 7/1/2013 12:38:58 AM | Location : United States







Related Discussions:- Show quantization error, Assignment Help, Ask Question on Show quantization error, Get Answer, Expert's Help, Show quantization error Discussions

Write discussion on Show quantization error
Your posts are moderated
Related Questions
Q. Explain working of Inverting Amplifier? One common op-amp circuit is shown in Figure. For the case of finite voltage gain Ao of an op amp that is otherwise ideal, the output

A system contains an amplifier with a gain of 10 offering the armature voltage for a motor which provides an output speed which is proportional to the armature voltage, the constan

States Ohm's law Ohm's law describes that the current I flowing in a circuit is directly proportional to the applied voltage V and inversely proportional to the resistance R, g

Multiplexed Address/ Data Bus Pins AD 7 - AD) are used for multiplexed address data bus. This bus is bidirectional  input output  and  serves two  purpose. Initially the bus

In a CDMA system, the signal is spread over a large bandwidth by multiplying the transmitted symbol by a sequence of short pulses, also called chips. The

what is the literature review about wye delta transformation?? for 3 paragraphs atleast*

Q. Figure shows the master-slave JKFF. Assuming that the output changes on the falling edge of the clock pulse (i.e., when the clock pulse goes from high to low), discuss the opera

Q. Determine L and C of the band reject filter circuit of Figure to have a center frequency of 100 kHz and a bandwidth of 5 kHz. Also find the Q of the filter.

The assignment comprises two parts, a CPLD Design Exercise and a CPLD Design Project. The CPLD Design Exercise will enable you to acquire competance in programmable logic design

Q.   What are the different types of dc generation according to the ways in which fields are excited. Show the connection diagram of each type. Ans. Types of D.C.