An extended overlap‐add method and overlap‐save method for sampling rate conversion
Shogo Muramatsu, Hitoshi Kiya · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 1995
Abstract The overlap‐add (OLA) and overlap‐save (OLS) methods are well known as efficient schemes for higher‐order filtering. In those methods, the linear convolution for the infinite‐duration data is reduced to the circular convolution for the finite blocks, and the fast‐Fourier transform (FFT) is applied to the execution of the circular convolution. This paper proposes new OLA and OLS methods, which can directly be applied without a redundancy to the rate conversion. First, the conventional theory is extended for the finite‐duration data. Then, the result is generalized for the infinite‐duration data. Two methods are proposed as the main result in this paper, which are the extended overlap‐add and extended overlap‐save methods. Finally, the proposed method is compared to the polyphase structure, which is well known as an effective realization method for the rate conversion.