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Discrete Cosine Transform (DCT) plays a significant role in digital signal processing, especially in various international compressing standards, such as JPEG (Joint Photographic Experts Group), MPEG4 (Moving Pictures Expert Group), and H26X. Due to its high computational complexity, fast DCT algorithms have been widely studied in recent years. This paper highlights a novel approach to calculate DCT...
The Discrete Fourier transform (DFT) is an important tool in digital signal processing. In this paper, a novel approach to DFT is proposed. The computation of DFT is transformed to the computation of the first-order moments by the simple mathematical deductions. It is well known that the first-order moments can be computed efficiently using only additions. An efficient systolic array is designed to...
Discrete cosine transform (DCT) is an important tool in digital signal processing. In this paper, based on our previous work of performing DCT via linear sums of discrete moments, we have made development to eliminate multiplications in discrete cosine transforms by performing appropriate bit operations and shift in binary system, which can be implemented by integer additions of fixed points. An efficient...
Discrete Hartley transform (DHT) is an important tool in digital signal processing. In this paper, based on our previous work of performing DHT via linear sums of discrete moments, we have made development to eliminate multiplications in discrete Hartley transforms by performing appropriate bit operations and shift in binary system, which can be implemented by integer additions of fixed points. An...
Convolution is an important and useful operation in the fields of digital signal processing. In this paper, based on the previous work of performing discrete Fourier transform (DFT) via linear sums of discrete moments, we have made development to eliminate multiplications in discrete Fourier transforms by performing appropriate bit operations and shift operations in binary system, which can be implemented...
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