A description of matched filters, which is a demodulation technique with LTI filters which achieves maximum SNR.
Signal to Noise Ratio (SNR) at the output of the
demodulator is a measure of the quality of the demodulator.
In the correlator described earlier,
and
.
Is it possible to design a demodulator based on linear time-invariantfilters with maximum signal-to-noise ratio?
If
is the transmitted signal, then the output of the
filter is given as
Sampling the output at time
yields
The noise contribution:
The expected value of the noise component is
The variance of the noise component is the second moment since the mean
is zero and is given as
Signal Energy can be written as
and the signal-to-noise ratio (SNR) as
The signal-to-noise ratio, can be maximized considering the well-known Cauchy-Schwarz Inequality
with equality when
. Applying the inequality directly yields an upper bound on SNR
with equality
.
Therefore, the filter to examine signal
should be
Matched filter
The constant factor is not relevant when one considers the
signal to noise ratio. The maximum SNR is unchanged when boththe numerator and denominator are scaled.
Examples involving matched filter receivers can be found
here . An analysis in the frequency
domain is contained in
Matched Filters
in the Frequency Domain .
Another type of receiver system is the
correlation receiver. A performance
analysis of both matched filters and correlator-type receiverscan be found in
Performance
Analysis .
Questions & Answers
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
