ABSTRACT
Recently there has been established a method for determining unknown frequencies in a trigonometric signal by using families of Szegö polynomials. The Szegö polynomials are associated with a signal for which we have reason to believe that a proper mathematical model is of the form () G ( t ) = ∑ j = − I I α j e i 2 π f j t , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072126/15070696-a94f-4da5-a117-8ee069a896b3/content/eq3825.tif"/> where t denotes time. () f j = f − j > 0 , f 0 = 0 , f j are the frequencies , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072126/15070696-a94f-4da5-a117-8ee069a896b3/content/eq3826.tif"/> () 0 ≠ α j = α ¯ − j ∈ C , α 0 ≥ 0 , | α j | are the amplitudes , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072126/15070696-a94f-4da5-a117-8ee069a896b3/content/eq3827.tif"/>