A practical approach to digital signal processing

Ifeachor, Emmanuel; Smithson, P.M.

doi:10.1049/ic:19950210

Cited by 204 publications

(288 citation statements)

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“…When a quantized signal is sampled, the entire quantization noise spectrum is folded back into the baseband (aliasing), and it is reasonable to take the total quantization noise power as a measure of the noise to be expected in the baseband [13,18]. For sinusoidal inputs, an expression for the maximum theoretical signal to quantization noise ratio at the Nyquist rate can be derived following certain assumptions about the noise and the input signal [19,20]:…”

Section: Noise Considerationsmentioning

confidence: 99%

Potential use of the undersampling technique in the acquisition of nuclear magnetic resonance signals

Pérez

2001

Magnetic Resonance Materials in Biology, Physics, and Medicine

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This communication reviews the use of undersampling techniques to acquire NMR signals. Undersampling transforms bandpass free induction decay (FID) signals, centered at high frequencies, into lowpass signals or bandpass signals centered at much lower frequencies. Consequently, the analog electronic stages that perform the demodulation can be eliminated, gaining in stability and reducing the phase distortion while maintaining an equivalent or better signal to noise ratio when an adequate sampling rate is chosen. The technique has been tested on a BRUKER BIOSPEC BMT 47/40, and the results show that undersampling could be used to process NMR and MRI signals, extending the range of applications of the 'digital radio' techniques to NMR and MRI apparatus.

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Section: Noise Considerationsmentioning

confidence: 99%

Potential use of the undersampling technique in the acquisition of nuclear magnetic resonance signals

Pérez

2001

Magnetic Resonance Materials in Biology, Physics, and Medicine

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“…This dynamic element is described by linear time-invariant first-order difference equation; see [11,12]. As a generalization of the classical discrete integrator, we can consider discrete summation of fractional order [3,[13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

“…The proposed integrator may be used in the variable-, fractional-order digital filters [11,12], described by related variable-, fractional-order difference equations. In the paper, an equivalent but very useful vector matrix description of the variable-, fractional-order integrator is applied.…”

Section: Introductionmentioning

confidence: 99%

Generalized Fractional-Order Discrete-Time Integrator

Mozyrska

Ostalczyk

2017

Complexity

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“…Several methods to improve the controller's performance are proposed and verified in (Sacks et al, 1993(Sacks et al, , 1995. In terms of computation and storage requirements, the LMS algorithm is one of the most efficient adaptive algorithms (Emmanuel et al, 1993) and it does not suffer from numerical instability problems. Based on the LMS algorithm, a discrete-time learning feedforward compensation (LFF) algorithm is proposed here to remove the periodic disturbance of the radial error signal (RES) during tracking for high speed CD-ROM drives.…”

Section: Introductionmentioning

confidence: 99%

“…According to the LMS algorithm, the weight can be adjusted from sample to sample in such a way as to minimize the mean square error between the estimated disturbance and the actual disturbance using the steepest descent algorithm (Stephen et al, 1987, Emmanuel et al, 1993. As shown in figure 1, the radial error signal at the kth sample time can be estimated by combining the actuator response generated by the original radial PID control loop and disturbance generated by the LFF controller input.…”

Section: Introductionmentioning

confidence: 99%