What do you mean by optimum detection?

What do you mean by optimum detection?

Abstract. The average likelihood ratio detector is derived as the optimum detector for detecting a target line with unknown normal parameters in the range-time data space of a search radar, which is corrupted by Gaussian noise.

Why is an optimum receive filter for a digital communication system named so?

The matched filter is the optimal linear filter for maximizing the signal-to-noise ratio (SNR) in the presence of additive stochastic noise. It is so called because the impulse response is matched to input pulse signals.

What is the optimum receiver?

Optimal Receiver: An optimal receiver is one that is designed to minimize the probability that a decision error occurs. The optimal receiver can be separated into two stages, a detector, which filters and samples the received signal, and a decision device, which uses the samples to make its decision.

What conditions must be fulfilled in a good digital communication system?

What conditions must be fulfilled in a good digital communication system? Explanation: Some of the conditions which must be satisfied in a digital communication system are high data rate, high fidelity, low bandwidth, low transmit power and low transmitter and receiver complexity.

What are the disadvantages of digital communication?

Disadvantage of Digital Signals :

  • Sampling may cause loss of information.
  • A/D and D/A demands mixed-signal hardware.
  • Processor speed is limited.
  • Develop quantization and round-off errors.
  • Systems and processing is more complex.

How to determine the optimum receiver for an AWGN channel?

Determine the optimum receiver and the corresponding $P_{eM}$ for an AWGN channel Ask Question Asked8 years, 3 months ago Active3 years, 3 months ago Viewed5k times 2 1 $\\begingroup$ I have a source that emits $M$ equiprobable messages, which are assigned signals $s_1, \\dots,s_M,$ that are equidistant by $a$.

How to determine the optimum receiver and the transmit filter?

$\\begingroup$You have to define optimum. Usually it’s defined as the receiver that minimizes the SNR. This can be achieved by a matched filter. To determine the matched filter the transfer function of the impulse shaper (or transmit filter) has to be known.$\\endgroup$– DeveMar 27 ’13 at 8:19 1

How are matched filters used in digital communications?

Matched filters are used in digital communications to maximize the signal to noise ratio. Often a root-raised-cosine filter is used to shape the signal, since it is bounded in frequency space and the same filter can be applied to the received signal to improve the signal-to-noise ratio (SNR) without causing inter-symbol-interference (ISI).

Can a less optimum filter be used with ISI?

However if a less optimum filter is used to shape the signal, then using the same filter at the receiver can introduce ISI. It is not immediately obvious what the best choice of filter at the receiving end is.