摘要:
A fully-parallel digital arithmetic device for obtaining the square, C 2 , of a value, C via parts of the value C and involving a reduction in memory requirements. Three square function ROM's are employed, one responsive to the most significant-bits half of a parallel input, the second ROM responsive to the least-significant bits half of the parallel input, and the third one responsive to the sum of said most significant bits and least-significant bits. The outputs of the square function ROM's are then combined and scaled to effect a square by parts of the applied input value, C. A pair of such arithmetic devices may be advantageously combined to economically effect the product AB of two values, A and B, in the manner of a quarter square multiplier.
摘要:
The amplitude or frequency of a sinusoidal signal represented as sample values S₁, S₂, S₃, S₄ is estimated by computing a triplet of differences x₁, x₂, x₃, where x₁ is a difference between S₂ and S₁, x₂ is a difference between S₃ and S₂, and x₃ is a difference between S₄ and S₃. An indication of the estimate of the amplitude or frequency is computed as a ratio of algebraic functions of the differences x₁, x₂, x₃. The amplitude is computed as the square root of a first ratio of algebraic functions, and the frequency is computed as an arc-cosine function of a second ratio of algebraic functions. Preferably the ratio is evaluated by a division operation computed as a polynomial approximation, and the square root function and the arc-cosine function are also computed as a polynomial approximation. Preferably ratios computed from a plurality of triplets are averaged together to give more accurate estimates. Preferably any ratio having a denominator value that has a magnitude less than a threshold value is excluded from the average of the ratios, so that the average will not be corrupted by any inaccurate result that could be obtained when dividing by a relatively small number. The method can be used for compensating a parasitic capacitance, or for monitoring the health of a plurality of signals in an electronic circuit.
摘要:
A tracking filter has a tunable filter responsive to an input signal for producing a filtered output signal, a Hilbert transformer for producing an in-phase reference signal and a quadrature-phase reference signal from the filtered output signal, and a discriminator responsive to the input signal and the in-phase and quadrature-phase reference signals for producing a passband center frequency control signal and a passband width control signal for controlling the passband center frequency and the passband width of the tunable filter. The frequency discriminator performs complex demodulation of the input signal with the in-phase reference signals to produce respective in-phase and quadrature-phase baseband signals which are low-pass filtered. The quadrature-phase baseband signal is divided by the in-phase baseband signal. The quotient is integrated to produce the passband center frequency control signal. Preferably the baseband signals are also filtered by adjustable filters having passband center frequencies and passband widths controlled in response to the passband center frequency control signal and the passband width control signal, respectively. Preferably the tracking filter is a digital filter.
摘要:
The amplitude or frequency of a sinusoidal signal represented as sample values S₁, S₂, S₃, S₄ is estimated by computing a triplet of differences x₁, x₂, x₃, where x₁ is a difference between S₂ and S₁, x₂ is a difference between S₃ and S₂, and x₃ is a difference between S₄ and S₃. An indication of the estimate of the amplitude or frequency is computed as a ratio of algebraic functions of the differences x₁, x₂, x₃. The amplitude is computed as the square root of a first ratio of algebraic functions, and the frequency is computed as an arc-cosine function of a second ratio of algebraic functions. Preferably the ratio is evaluated by a division operation computed as a polynomial approximation, and the square root function and the arc-cosine function are also computed as a polynomial approximation. Preferably ratios computed from a plurality of triplets are averaged together to give more accurate estimates. Preferably any ratio having a denominator value that has a magnitude less than a threshold value is excluded from the average of the ratios, so that the average will not be corrupted by any inaccurate result that could be obtained when dividing by a relatively small number. The method can be used for compensating a parasitic capacitance, or for monitoring the health of a plurality of signals in an electronic circuit.
摘要:
A fully-parallel digital arithmetic device for obtaining the square, C 2 , of a value, C via parts of the value C and involving a reduction in memory requirements. Three square function ROM's are employed, one responsive to the most significant-bits half of a parallel input, the second ROM responsive to the least-significant bits half of the parallel input, and the third one responsive to the sum of said most significant bits and least-significant bits. The outputs of the square function ROM's are then combined and scaled to effect a square by parts of the applied input value, C. A pair of such arithmetic devices may be advantageously combined to economically effect the product AB of two values, A and B, in the manner of a quarter square multiplier.