• https://doi.org/10.1049/sbra511e_ch7Copy DOI Icon

Sensitivity and Detection Problems

  • Jan 1, 2004
  • J.b.y Tsui +1 more
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Abstract

In this chapter, receiver sensitivity is discussed. The sensitivity of a receiver is defined as its ability to measure the weakest signal. The output of an analog-to-digital converter (ADC) is digital. This output impacts the measurement approach of input signals and thus receiver sensitivity. The conventional way to calculate sensitivity is through mathematical modeling. However, due to the nonlinear property ADCs, it is difficult to manipulate the calculations mathematically. As a result, the basic analysis is still based on an analog approach. If the ADC has a large number of bits, the result will be close to the analog approach. The threshold for detecting false alarms and signals in a digital receiver cannot be set arbitrarily in a continuous sense. The threshold can only be chosen from a finite number of levels. This chapter discusses different types of detection schemes. The difference between the detection schemes of analog and digital receivers is emphasized. The possible advantages of a digital receiver from a detection point of view are discussed. The detection based on one data sample is discussed first. The one-sample case is then extended to multiple samples. Finally, frequency domain detection, which can be applied to digital receivers, is examined. Examples with computer programs are used to illustrate some of the detection schemes. Before the general discussion, let us clarify the meaning of the word detection. This word has two distinct applications in a discussion of receivers. In the first sense, it refers to the process of converting a radio frequency (RF) signal or noise into a video signal. In the second sense, it refers to the process that determines whether a signal is present. In spite of this ambiguity, the meaning should be clear from the context.

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