• Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

Card Range To Study

through

image

Play button

image

Play button

image

Progress

1/67

Click to flip

Use LEFT and RIGHT arrow keys to navigate between flashcards;

Use UP and DOWN arrow keys to flip the card;

H to show hint;

A reads text to speech;

67 Cards in this Set

  • Front
  • Back

What is Nyquists Sampling Theorem

A signal can be reconstructed without error when sampled at the Nyquist Rate

What is AntiAliasing Filtering

A filter located before the systems sampling circuit.



It limits the frequencies in the pre sampled signal to the folding frequency


2



Folding Frequency fH <= fS / 2To minimise aliasing the filter must have a sufficiently rapid roll-off and sufficient attenuation above the city off frequency.


2To minimise aliasing the filter must have a sufficiently rapid roll-off and sufficient attenuation above the city off frequency.


To minimise aliasing the filter must have a sufficiently rapid roll-off and sufficient attenuation above the city off frequency.

Continuous signal, PAM signals, PCM signal diagrams.

Signal-to-quantisation noise ratio (linear quantization, uniform pdf)


-Average Signal Power


-Quantization Noise Power


-Signal to quantization noise ratio

Signal-to-quantisation noise ratio (linear quantization, uniform pdf)

Signal-to-quantisation noise ratio (linear quantization, non-uniform pdf)

Why is non-linear quantization / commanding used?

When the pdf of an analogue signal is not uniform, we should ensure that the most frequently used quantization levels introduce the least quantization noise.

What does Non-linear commanding do

Creates a uniform pdf and optimum SNqR isbthe signal pdf is known.



Creates a constant SNqR if the signal pdf is unknown.

What is the A law graph and what do the bits do

Using the 8 bits for a given amplitude and the A-law graph an output amplitude can be found.


The bit sequence is A-law encoded and can be quantized to send as PCM data



For 8 but commanding:


1 bit gives the sign


3 bits specify the segment


4 bits give a location on the segment.

How is non-linear quantization used for speech

Speech has an unpredictable mean amplitude so this is used to fix the SNqR.

How does centre point detection work

Finds the bit by taking a measurement at the center of the bit and then compares this value to a reference value.

Generic probability equation for noise

Unipolar rectangular pulse signal equations

Polar rectangular pulse signal equations

Unipolar baseband probability equations

Polar baseband probability equation

Probability equation for multi level baseband signals

What is the Shannon-hartley capacity theorem

Multi-hop link with linear amplifiers diagram and probability equation

Multi-hop link with regenerative repeater diagram and probability equation

What do regenerative repeaters do

They perform a demodulation to decouple noise between sections.

Why are line codes used

What criteria are line codes selected for

-Presence or Absence of a DC level


-Power spectral density


-Spectral occupancy (BW size)


-Noise immunity


-Transparency


-Easy of clock recovery for symbol timing


-Inherent error detection properties


Advantages of Unipolar signals

-Require only a single positive supply voltage

Disadvantages of Unipolar signals

- The DC component is wasted power


-Requires AGC at its receiver to ensure correct threshold detection


-Cannot be used with AC coupled lines


- The signal is distorted due to forcing of spectral density to 0 at DC.

What is the distortion due to AC coupling of Unipolar signals

Sending a long chain of 1s results in charge developing on the capacitor. This results in signal droop.

What is Bipolar signalling / AMI

It is a Pseudo-ternary format that denotes a binary 0 as zero volts and a binary 1 as +V and -V alternating.

Advantages of Bipolar signals

It ensures a DC null in the signal spectrum thus allowing AC coupling



It prevents a long term DC build up due to many 1s, thus avoiding signal droop.


Disadvantages of Bipolar signals

Reduces the signal bandwidth



Long strings of 0s may result in the loss of receiver clock synchronisation.

What is HDB3

A form of Bipolar RZ signalling where a string of four 0s is substituted with a 0001 or 1001, where the last mark violates the AMI rules allowing the code word to be detected.

What is nBmT coding

Where n binary symbols are mapped to m ternary symbols. This increases the length of transmitted symbols and decreases the bandwidth of the resulting ternary signal.

What is Coded mark inversion

It uses a dipolar pulse for a digital 0 and a NRZ bipolar pulse for a digital 1.

What is the Spectral Efficiency equation

Why filter at the transmitter

Because rectangular pulses have a sinc spectrum which has a large bandwidth.

What is an ISI free signal

A signal which passes through zero at all but one sampling instant.

What is Nyquists Vestigial Symmetry Theorem

Why do we not use sinc pulse signalling

-Sinc goes to infinity on both ends



-Has no ISI



-We only need a small timing error before ISI occurs as sinc pulses have steep sides



-Unrealistic demands on symbol timing to do a good job.

What is Raised Cosine filtering and what does it allow us to do

A modification of th3 frequency response of a brick wall filter where delta f of excess bandwidth is taken from the edges of a rectangular wave and added to the sides.



It is used to avoid ISI

How do we find the bandwidth of a raised cosine filter

What is the bandwidth of the modulated raised cosine filter

What is traded off during raised cosine filtering

Excess bandwidth is traded off for more rapidly decaying sidelobes in the received pulses.

How can centre point detection be improved upon

We can take multiple samples of a single pulse, this will help solve the issue of noise.

What is the integrate and dump method of detection for rectangular pulses

An integration over one pulse period is performed. This gives an integration value to evaluate. The integrator can be made easily in analogue using a resistor and capacitor.



The value on the integrator is then dumped by shorting the switch/capacitor, thus resetting the value to zero.


This method makes the effect of noise miniscule.

What does an integrate and dump detection graph look like

What is the circuit realisation of the integrate and dump detection

What is Matched Filtering

What are the mathematical representations of a matched filter in the frequency and time domains

How does matched filtering work in the time domain

The impulse response of the filter is a time reversed version of the pulse to which it is matched, it is then delayed by a time equal to the duration of the pulse.

What is the output of the matched filter

This is the autocorrelation of the expected symbol pulse.

What is correlation

What is the signal power and noise power of a correlate at sampling instant To

Signal Power: Es ^2



Noise Power: ( N0 / 2 ) Es

What is the sampling instant SNR of a correlator

S/N = 2Es / N0

Probability of error for a single channel binary-symbol correlator

Where p = 0 for unipolar signals


And


P = -1 for polar signals

What is the formula for the sampling instant voltage difference

What is the formula for the noise power at the matched filter output

What is the formula for the rms noise voltage at the filter output

Differences between matched filtering and correlation detection

Their output waveforms



Their sensitivity to timing errors, with timing errors we could easily go from positive to negative.

What are eye diagrams and what are they used for

These are used to see if everything is working at the put it.



The eye diagram has many overlayed pulses / data symbols and the colour of said pulses determine their probability.



They can be used to determine:


-ISI


-The optimum sampling time


-Jitter


- The noise margin

What is the linear quantization of a PAM signal

It is a quantization that converts an analogue signal to a digital signal.

What do the pdf graphs of analogue and digital signals look like

What is the relationship between PAM, quantized PAM, PCM signal

What are the formulas to the peak signal-to-quantisation noise ratio for a linear quantization and uniform pdf

What is the probability of error for a binary polar NRZ signal

What are the formulas for quantization noise and detection noise for a PCM decoder output

What is the input and output SNR graph for PCM

What are the diagrams of the probability degradation due to multiple hops

What are the pdf graphs of binary symbols, noise and signal plus noise