Abstract:
An equalizer for a multi carrier signal for carrying out equalization adapted to each carrier or group of carriers, Fourier transforms the multi carrier signal, and obtains difference terms of the multi carrier signal. Both are input to an adaptive filter, to output equalized signals, wherein decimation is applied to at least some of the difference terms input to the filter. This is notable for enabling the complexity to be reduced for a given performance level. In particular since only non-zero filter taps need to be stored and updated, coefficient memory and coefficient calculation capacity can be reduced. Another way to reduce complexity involves measuring noise for at least some of the carriers, and dynamically adapting the size of the filter on a per carrier basis according to global optimizion euristic algorithms which adapt this filter size based on the comparison between this noise and an optimal performance figure achieved in a previous ISI-ICI free measurement phase.
Abstract:
An M-point Fractional Fourier is described using several 2M-points traditional Fourier transforms. The signal path is fed through a series of blocks including a first multiplier, a zero pad, an FFT 2m, a second multiplier, an IFFT 2M, a 1 st half element, and a third multiplier. The first and third multipliers have as their other inputs a value exp(-jπn 2 α) for n=0:M-1, derived from the clock offset signal represented by α.
Abstract:
An M-point Fractional Fourier is described using several 2M-points traditional Fourier transforms. The signal path is fed through a series of blocks including a first multiplier, a zero pad, an FFT 2m, a second multiplier, an IFFT 2M, a 1 st half element, and a third multiplier. The first and third multipliers have as their other inputs a value exp(-j n 2 ) for n=0:M-1, derived from the clock offset signal represented by.
Abstract translation:使用几个2M点传统傅立叶变换来描述M点分数傅里叶。 信号路径通过包括第一乘法器,零焊盘,FFT2m,第二乘法器,IFFT 2M,第一半元件和第三乘法器的一系列块馈送。 对于n = 0:M-1,第一和第三乘法器具有作为其另一个输入的值exp(-j n 2),从由...表示的时钟偏移信号导出。
Abstract:
An equalizer for a multi carrier transmission system, converts a transmitted multi carrier signal into sampled frequency domain signals, and suppresses time domain delay dispersion, on the sampled frequency domain signals. It exploits circulant decomposition of a Toeplitz matrix to enable the computationally heavy evaluation of a matrix multiplied by a vector, to be avoided. Increased precision arises from the frequency domain processing being equivalent to a longer time domain FIR filter than is normally practical. The amount of compensation for different carriers can be adjusted, which can lead to increased precision.
Abstract:
An M-point Fractional Fourier is described using several 2M-points traditional Fourier transforms. The signal path is fed through a series of blocks including a first multiplier, a zero pad, an FFT 2m, a second multiplier, an IFFT 2M, a 1 st half element, and a third multiplier. The first and third multipliers have as their other inputs a value exp(-jπn 2 α) for n=0:M-1, derived from the clock offset signal represented by α.
Abstract translation:使用几个2M点传统傅立叶变换来描述M点分数傅里叶。 信号路径通过包括第一乘法器,零焊盘,FFT2m,第二乘法器,IFFT 2M,第一半元件和第三乘法器的一系列块馈送。 对于n = 0:M-1,第一乘法器和第三乘法器具有作为其他输入的值exp(-j pi n 2 alpha),从由alpha表示的时钟偏移信号导出。
Abstract:
A clock offset compensation arrangement has a fractional interpolator for applying a trigonometric interpolation to a sampled input signal according to a clock offset signal. It uses transform based processing in the frequency domain. Compared to a polynomial type interpolation it can be easier to implement, and can achieve a closer approximation to a perfect interpolation. It can reduce the effects of non linear type errors introduced by truncation of higher powers. The arrangement can be applied to receivers or transmitters of multicarrier modems, or any application which needs rate adaption or synchronization.