NAFI TR-l^i+O 



LIST OF SYMBOIg AND ABBREVIATIONS 



It is recognized that there will be readers of this report 

 who are not interested in the mathematical details, but only in the 

 results and their significance. To assist these readers, the following 

 list of important symbols and abbreviations is included; references 

 are made to pertinent equations in the text. This list, combined with 

 spot references to the body of the text, should allow the interested 

 reader to obtain an understanding of the problem and results by reading 

 sections 1, 2, and 8. 



w.r.t. - "with respect to" 



SNR - ubiquitous throughout the text, denotes "signal-to- 

 noise ratio" and is always \\rritten on a power, not voltage, basis at 

 the point of definition or measurement ; consequently, dbs are obtained 

 by taking 10 log of this quantity. 



SNEo - used in two senses: (l) in a general sense, it denotes 

 the SNR out of a square-law detector averager (Eqns. 9 and lO) and (2) 

 in numerical results, it denotes the output SNE of a conventional band- 

 limited pre-whitening system (Eqn. l6). 



SNRo' (") - system output SNR for true Eckart filter (Eqns. 

 26 and 29): the prime denotes Eckart, "^ denotes the infinite bandwidth 

 associated with true spectral matching. 



SNRo' - system output SNR for bandlimited Eckart filter. 

 (Eqn. 3^). 



SNRo' (§0 ) - system output SNR for mismatched Eckart filter. 

 (Eqn. k-3)' §0 is the matching parameter (see below). 



Si(R,f), Si(f) - denotes the signal power spectrum at the 

 input to the shaping filter. (Eqn. 1, Fig. 2) Because of its depend- 

 ence upon propagation loss, the range variable, R, is initially includ- 

 ed, but suppressed after section 2 since the results presented here do 

 not depend upon it. 



