... Hz to 80 Hz; band is band-pass and covers 80 Hz to kHz; band is high-pass and covers above kHz; and band is also high-pass and covers above kHz At the encoder the gain of each band is adaptively ... delay, and can be adjusted to coherently combine the signals The magnitude frequency response of each filter can be used to remove the out–of–band noise 1.3.8 Dolby NoiseReduction Dolby noisereduction ... speech enhancement and speech recognition Speech is generated by inhaling air into the lungs, and then exhaling it through the vibrating glottis cords and the vocal tract The random, noise- like, air...
... shape; examples are pink noise, brown noiseand autoregressive noise (e) Impulsive noise: consists of short-duration pulses of random amplitude and random duration (f) Transient noise pulses: consists ... White noise: purely random noise that has a flat power spectrum White noise theoretically contains all frequencies in equal intensity (c) Band-limited white noise: a noise with a flat spectrum and ... the signal and the noise processes The models are then used for the decoding of the underlying states of the signal and noise, and for noisy signal recognition and enhancement Noise and Distortion...
... Autocorrelation and power spectrum of impulsive noise Impulsive noise is a random, binary-state (“on/off”) sequence of impulses of random amplitudes and random time of occurrence In Chapter 12, a random ... stochastic processes for modelling random noise such as white noise, clutters, shot noiseand impulsive noise Bibliography ANDERSON O.D (1976) Time Series Analysis and Forecasting The Box– Jenkins ... Model for Clutters and Impulsive Noise An impulsive noise process consists of a sequence of short-duration pulses of random amplitude and random time of occurrence whose shape and duration depends...
... µx and covariance matrix Σxx, and that the noise n(m) is also Gaussian with mean vector µn and covariance matrix Σnn The signal andnoise pdfs model the prior spaces of the signal and the noise ... with a random input e, output x, and parameter vector θ, is a predictive model of the signal x, and n is an additive random noise process In Figure 4.1, the distributions of the random noise n, ... is the random input of the AR model and n is the random noise Using Equation (4.3), the signal restoration process involves the estimation of both the model parameter vector θ and the random input...
... Speech Wiener filter Noise states NoiseNoise HMMs Figure 5.12 Outline configuration of HMM-based noisy speech recognition and enhancement 5.6 Signal andNoise Model Combination and Decomposition ... Wiener filtering and the spectral subtraction methods described in Chapters and 11) or by combining the noiseand the signal models to model the noisy Signal andNoise Model Combination and Decomposition ... signal and the noise HMMs maybe expressed as MAP s signal = arg max max f Y (Y , ssignal , s noise M ,η ) s signal s noise (5.46) MAP s noise = arg max max f Y (Y , ssignal , s noise...
... Filter for Additive NoiseReduction Consider a signal x(m) observed in a broadband additive noise n(m)., and model as y(m) = x(m) + n(m) (6.45) Assuming that the signal and the noise are uncorrelated, ... x(m) and the noise n(m): Ryy = Rxx + Rnn (6.46) rxy = rxx (6.47) and we can also write where Ryy, Rxx and Rnn are the autocorrelation matrices of the noisy signal, the noise- free signal and the noise ... separability: (a) The signal andnoise spectra not overlap, and the signal can be recovered by a low-pass filter; (b) the signal andnoise spectra overlap, and the noise can be reduced but not...
... m | m − 1) ~ ( m| m − 1)] = x (7.20) and we have also used the assumption that the signal and the noise are uncorrelated Substitution of Equations (7.9) and (7.16) in Equation (7.15) yields the ... y(m)= x(m) + n(m) (7.34) 2 Let σ e (m) and σ n (m) denote the variances of the excitation signal e(m) and the noise n(m) respectively Substituting Φ(m+1,m)=a(m) and H(m)=1 in the Kalman filter equations ... Recursive estimation of a constant signal observed in noise Consider the estimation of a constant signal observed in a random noise The state and observation equations for this problem are given...
... X Ba ) 2 (8.55) where X and x are the signal matrix and vector defined by Equations (8.12) and (8.13), and similarly XB and xB are the signal matrix and vector for the backward predictor ... flexibility and better performance Sub-Band Linear Prediction Model 253 In sub-band linear prediction, the signal x(m) is passed through a bank of N band-pass filters, and is split into N sub-band signals ... of a sub-band linear prediction model Linear Prediction Models 254 where Bk and fk0 are the bandwidth and the centre frequency of the kth subband respectively To ensure that each sub-band LP parameters...
... Hz to 80 Hz; band is band-pass and covers 80 Hz to kHz; band is high-pass and covers above kHz; and band is also high-pass and covers above kHz At the encoder the gain of each band is adaptively ... 2.2 White Noise 2.3 Coloured Noise 2.4 Impulsive Noise 2.5 Transient Noise Pulses N 2.6 2.7 2.8 2.9 2.10 Thermal Noise Shot Noise Electromagnetic Noise Channel Distortions Modelling Noise oise ... delay, and can be adjusted to coherently combine the signals The magnitude frequency response of each filter can be used to remove the out–of–band noise 1.3.8 Dolby NoiseReduction Dolby noise reduction...
... detection and removal of impulsive noiseand transient noise pulses In Chapter 12, impulsive noise is modelled as a binary−state non-stationary process and several stochastic models for impulsive noise ... Signals in Noise .167 5.6 Signal andNoise Model Combination and Decomposition .170 5.6.1 Hidden Markov Model Combination 170 5.6.2 Decomposition of State Sequences of Signal and Noise. 171 ... including thermal noise, shot noise, acoustic noise, electromagnetic noiseand channel distortions, are considered The chapter concludes with an introduction to the modelling of noise processes...
... {vP+1, , vN} span the noise subspace and have σ n as their eigenvalues Since the signal andnoise eigenvectors are orthogonal, it follows that the signal subspace and the noise subspace are orthogonal ... of the noisy signal into a signal subspace and a noise subspace The orthogonality of the signal andnoise subspaces is used to estimate the signal andnoise parameters In the next chapter, we use ... autocorrelation matrices of the signal x and the noise as R yy = R xx + Rnn = SPS H + σ I n (9.93) where Rxx=SPSH and Rnn=σn2I are the autocorrelation matrices of the signal andnoise processes, the exponent...
... case of a band-limited random signal if the sampling rate is greater than M times the Nyquist rate However, in many practical cases, the signal is a realisation of a random process, and the sampling ... recognition and decision making systems We started this chapter with a study of the ideal interpolation of a band-limited signal, and its applications in digital-to-analog conversion and in multirate ... original base-band spectrum X(f) and the repetitions or images of X(f) spaced uniformly at frequency intervals of Fs=1/Ts When the sampling frequency is above the Nyquist rate, the baseband spectrum...
... effect of noise on a signal in the time and the frequency domains 335 Spectral Subtraction where y(m), x(m) and n(m) are the signal, the additive noiseand the noisy signal respectively, and m is ... Degraded by Additive White Noise IEEE Trans Acoustics, Speech and Signal Processing, ASSP-26, 5, pp 471–472 LINHARD K and KLEMM H (1997) NoiseReduction with Spectral Subtraction and Median Filtering ... sounding noise, known as “musical tone noise due to their narrowband spectrum and the tin-like sound The success of spectral subtraction depends on the ability of the algorithm to reduce the noise...
... 359 Impulsive Noise 12.1.1 Autocorrelation and Power Spectrum of Impulsive Noise Impulsive noise is a non-stationary, binary-state sequence of impulses with random amplitudes and random positions ... binary-state sequence, and expressed as ni (m) = n(m) b(m) (12.6) where b(m) is a binary-state random sequence of ones and zeros, and n(m) is a random noise process Assuming that impulsive noise is an uncorrelated ... the noise from the signal, and the representation domain must be the one that emphasises the distinguishing features of the signal and the noise Impulsive noise is normally more distinct and...
... of the input and the noise pulse template, and a time delay that can be used to align the input noiseand the noise template This information can be used for subtraction of the noise pulse from ... absence of a noise pulse, and provides additional information on the timing and the underlying the states of the noise pulse 13.4.1 Adaptive Subtraction of Noise Pulses The transient noise removal ... distinct states for a transient noise pulse process: (a) the periods during which there are no noise pulses; (b) the initial, and often short and sharp, pulse of a transient noise; (c) the decaying oscillatory...
... convergence The sub-bandbased system is shown in Figure 14.11 The sub-band analyser splits the input signal into N sub-bands Assuming that the sub-bands have equal bandwidth, each sub-band occupies only ... sub-band echo canceller are a reduction in filter length and a gain in the speed of convergence as explained below: (a) Reduction in filter length Assuming that the impulse response of each sub-band ... 30–37 GUSTAFSSON S and MARTIN R (1997) Combined Acoustic Echo Control andNoiseReduction for Mobile Communications, Proc EuroSpeech97, pp 1403–1406 HANSLER E (1992) The Hands-Free Telephone...
... Y(f), X(f), H(f) and N(f) are the frequency spectra of the channel output, the channel input, the channel response and the additive noise respectively Ignoring the noise term and taking the logarithm ... large, and this can lead to noise amplification if the signal-to -noise ratio is low 15.1.2 Equalization Error, Convolutional Noise The equalization error signal, also called the convolutional noise, ... non-linearities, and to estimate a non-Gaussian signal in a high level of Gaussian noise 454 Equalization and Deconvolution 15.6.1 Higher-Order Moments, Cumulants and Spectra The kth order moment of a random...
... Hz to 80 Hz; band is band-pass and covers 80 Hz to kHz; band is high-pass and covers above kHz; and band is also high-pass and covers above kHz At the encoder the gain of each band is adaptively ... shape; examples are pink noise, brown noiseand autoregressive noise (e) Impulsive noise: consists of short-duration pulses of random amplitude and random duration (f) Transient noise pulses: consists ... White noise: purely random noise that has a flat power spectrum White noise theoretically contains all frequencies in equal intensity (c) Band-limited white noise: a noise with a flat spectrum and...
... properties of a directional noisereduction system using the proposed supporting algorithms: (a) beam width control using target signal detection algorithms and (b) maximum noisereduction using leakage ... REFERENCES [1] J M¨ ller, F Sch¨ n, and J Helms, “Speech understanding in u o quiet andnoise in bilateral users of the MED-EL COMBI 40/40+ cochlear implant system,” Ear and Hearing, vol 23, no 3, pp ... Feuz, J Francois, and J Tinembart, “Multi¸ microphone digital-signal-processing system for research into noisereduction for hearing aids,” Innovation and Technology in Biology and Medicine, vol...
... noisereduction in hearing aids,” IEEE Transactions on Signal Processing, vol 53, no 3, pp 911–925, 2005 8 [10] A K N´ bˇ lek and D Mason, “Effect of noiseand reverberaa e tion on binaural and ... postfilters for noiseand acoustic echo reduction, ” in Microphone Arrays, M S Brandstein and D B Ward, Eds., chapter 12, pp 255–279, Springer, Berlin, Germany, 2001 [16] T Wittkop and V Hohmann, ... of late reverberant speech andnoise yields a significantly better speech quality, in terms of a lower LSD and MBSD as well as a higher SSIR, in comparison to the noisereduction without dereverberation...