An improved MDCT domain frequency estimation method

Abstract

In this work, an improved low complexity high precision method for frequency estimation in the Modified Discrete Cosine Transform (MDCT) domain is presented. The method is derived from the analytical expression of the MDCT coefficients of a sinusoid under symmetric windows. With this expression, frequency estimation under the sine and the Kaiser-Bessel Derived (KBD) windows can be made. This paper presents different procedures of the estimation under the sine and KBD windows according to their characteristics. The presented procedures have the ability to avoid estimation mistakes and large estimation errors. The method is tested to show great enhancement of the estimation precision when compared with the traditional methods, and can be used in compressed domain audio processing.