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Showing papers on "Fundamental frequency published in 1977"


Journal ArticleDOI
TL;DR: In this paper, a rationale for determining the optimal laminate design for a thin plate consisting of multiple layers of equi-thickness composite material is presented for maximization of the fundamental frequency of small-amplitude, free flexural vibration.

124 citations


Journal ArticleDOI
TL;DR: In this article, a very simple polynomial expression which identically satisfies the boundary conditions is used to solve the title problem, and a variational formulation is then applied to generate an approximate but extremely accurate and simple frequency equation.

61 citations


Journal ArticleDOI
Chong Un1, Shih-Chien Yang
TL;DR: An efficient algorithm for determining fundamental frequency and voiced/unvoiced (V/UV) decision of speech is presented and computer simulation of the algorithm yielded accurate results, even for difficult phonemes for pitch extraction.
Abstract: We present an efficient algorithm for determining fundamental frequency and voiced/unvoiced (V/UV) decision of speech. The pitch extractor utilizes the cross-correlation average magnitude difference function (AMDF) waveform that is obtained from the linear prediction residual signal. The decision logic used in pitch extraction is simple and reliable. The periodicity and null depth of AMDF waveforms, together with the average residual energy and the past pitch information, are used in the decision logic for fundamental frequency and V/UV decision. Computer simulation of the algorithm yielded accurate results, even for difficult phonemes for pitch extraction.

59 citations


Journal ArticleDOI
D. Friedman1
TL;DR: In this article, the pitch of a voiced speech segment is estimated by minimizing the squared error in approximating the segment by the repeated weighted average of successive assumed pitch periods, after a "maximum-likelihood" solution originally due to Slepian.
Abstract: The pitch of a voiced speech segment may be estimated by minimizing the squared error in approximating the segment by the repeated weighted average of successive assumed pitch periods, after a "maximum-likelihood" solution originally due to Slepian. A modification is proposed which allows use of an arbitrary window function and corrects two faults of the "likelihood" function noted by Noll: a linear baseline rise and ambiguous identification of the proper peak. Computationally, the entire formulation is in the time domain. Results are presented for speech both before and after bandpass filtering to simulate telephone transmission. Comparison of these two cases implies that the algorithm is effective for speech in which the fundamental frequency itself is missing.

41 citations


Proceedings ArticleDOI
01 Jun 1977
TL;DR: In this article, a localised ion-beam milling has been used to increase the fundamental frequency of acoustic-bulk-wave resonators, and a monolithic filter in lithium niobate (Y+37°) and lithium tantalate (X) operating at 220 and 230 MHz has been realized.
Abstract: A localised ion-beam milling has been used to increase the fundamental frequency of acoustic-bulk-wave resonators. Monolithic filters in lithium niobate (Y+37°) and lithium tantalate (X) operating, respectively, at 220 and 230 MHz have been realised. The relative bandwidth is equal to 1% and the insertion loss is about 4 dB. An a.t.-cut quartz resonator working in the fundamental mode at 270 MHz with a Q-factor of 12 000 has also been obtained. In this case, the vibrating membrane is 6 μm thick, with a centre portion of diameter 2.5 mm.

38 citations


Patent
04 Jan 1977
TL;DR: In this article, the authors proposed a controller that minimizes periodic torque or force perturbations in an inductor-type synchronous motor drive by supplying current waveforms to each motor phase that contain a fundamental frequency component and selected harmonic components.
Abstract: A controller minimizes periodic torque or force perturbations in an inductor-type synchronous motor drive by supplying current waveforms to each motor phase that contain a fundamental frequency component and selected harmonic components. The harmonic components in the phase currents heterodyne with the periodic permanent magnet flux fundamental frequency to create periodic torques or forces which subtract from the unwanted torques or forces perturbing the moving portion of the motor. The controller, which includes an interpolator, a memory, and a converter, provides for smooth incremental movement of a member such as a plot head, at substantially constant velocity, by applying selected continuous periodic waveform signals as phase currents to the windings of inductor-type synchronous motors.

28 citations


PatentDOI
TL;DR: In this paper, the authors describe a digital memory for storing a digital representation of the wave shape and a top octave synthesizer that produces clock pulses at a rate 2N times the fundamental frequency of a desired note.
Abstract: The disclosure describes improved apparatus for sampling a digitally-stored waveshape only at a rate 2N times the fundamental frequency of a note synthesized, where N is an integer The apparatus includes a digital memory for storing a digital representation of the waveshape A top octave synthesizer produces clock pulses at a rate 2N times the fundamental frequency of a desired note An octave oscillator generates addresses for the digital memory in response to at least some of the clock pulses depending on the octave in which the desired note is located A digital-to-analog converter converts the output from the digital memory into an analog signal suitable for sound production

26 citations


Patent
07 Apr 1977
TL;DR: In this article, the efficiency of the laser was improved by placing a quarter wave plate, at the lower frequency, in the leg of the cavity containing the lasing element and positioning the plate by angular rotation to compensate for any polarization discrimination.
Abstract: In a solid state, folded cavity, laser having a fundamental frequency and a second harmonic frequency, the efficiency of the laser is improved by placing a quarter wave plate, at the lower frequency, in the leg of the cavity containing the lasing element and positioning the quarter wave plate by angular rotation to compensate for any polarization discrimination to the laser rod gain.

25 citations


PatentDOI
TL;DR: The output pulse train of the first logic circuit means will have a fundamental frequency which accurately portrays that of the electrical representation and, hence, the musical note represented thereby.
Abstract: An electrical apparatus for determining the fundamental frequency of a musical note wherein the apparatus comprises a plurality of means for generating and responding to pulse type signals. More particularly, first and second means responsive to an electrical representation of the musical note are provided for generating first and second pulse trains whose pulses corresponding to the maxima and minima, respectively, of the electrical representation. The aforesaid first pulse train is applied to a first input of a first logic circuit means whose second input is fed a further pulse train from the output of a second logic circuit means. The second logic circuit means provides at its output either the second pulse train or a pulse train whose pulses are delayed relative to the pulses of the pulse train at the output of the first logic circuit means. In particular, during the initial stages of the electrical representation, the second logic circuit means is controlled to couple the former pulse train to its output and, thereafter, the latter pulse train. With the logic circuit means so controlled and with the first logic circuit means designed to provide an output pulse only for successively occurring pulses at its first and second inputs, respectively, the output pulse train of the first logic circuit means will have a fundamental frequency which accurately portrays that of the electrical representation and, hence, the musical note represented thereby.

23 citations


Journal ArticleDOI
01 Jan 1977
TL;DR: In this article, a gradient projection algorithm is applied to a class of vibrating cantilever beam optimization problems which are formulated as optimal control problems and the cross-section area is distributed along the beam for minimum total weight subject to fixed natural frequency constraints and a minimum allowed area limit.
Abstract: A gradient projection algorithm is applied to a class of vibrating cantilever beam optimization problems which are formulated as optimal control problems The cross-section area is distributed along the beam for minimum total weight subject to fixed natural frequency constraints and a minimum allowed area limit Three topics receive major emphasis: the effects of shear deformation and rotary inertia, higher-mode frequency constraints, and multiple frequency constraints Computational results are presented for the cases of fixed fundamental frequency, fixed second-mode frequency, and fixed fundamental and second-mode frequencies under a variety of conditions

23 citations


Patent
31 Oct 1977
TL;DR: In this paper, a frequency measuring apparatus is disclosed wherein a plurality of sets of harmonic signals are mixed with a received signal to produce a plurality groups of beat frequency signals, each one being fed by a corresponding one of the groups of signals.
Abstract: A frequency measuring apparatus is disclosed wherein a plurality of sets of harmonic signals is mixed with a received signal to produce a plurality of groups of beat frequency signals. A plurality of filters, each one being fed by a corresponding one of the groups of beat frequency signals, is provided to reject the beat frequency signals in such group having frequencies greater than one-half the fundamental frequency of the set of signals producing the group of beat frequency signals fed to such one of the filters. A plurality of counters, each one coupled to the output of a corresponding one of the filters, converts the frequency of the beat frequency signals fed to such counter to corresponding digital words. A logic network is provided to calculate the frequency of the received signal from the digital words provided by the counter.

Journal ArticleDOI
TL;DR: In this paper, the problem of maximizing the fundamental frequency of structures by optimizing fields of initial stresses without varying the given appropriate shape of the structure is considered, which leads to a maxmin problem solved numerically with the help of gradient methods.
Abstract: Departing from the common way of optimization of vibrating structures by an optimal mass distribution this paper deals with the problem of maximizing the fundamental frequency of structures by optimizing fields of initial stresses without varying the given appropriate shape of the structure. Thin elastic circular and rectangular plates are considered, which may be loaded by external inplane forces, and optimal initial membrane stress fields are calculated, which produce values of the first natural frequency of the free bending vibrations as high as possible. As a constraint, the strain energy caused by the field of initial stresses in the resting, externally unloaded plate is given. The computation leads to a max-min-problem solved numerically with the help of gradient methods. The optimal fields of initial stresses of the buckling plates are calculated as extreme cases in the same manner.

Patent
27 Dec 1977
TL;DR: In this paper, an overtone oscillator of the feedback type is provided by a transistor, a crystal resonant at a fundamental frequency and higher odd overtone frequencies, and a feedback circuit that includes the crystal, a second transistor connected in cascade with the first transistor and an RC network.
Abstract: An overtone oscillator of the feedback type is provided by a transistor, a crystal resonant at a fundamental frequency and higher odd overtone frequencies, and a feedback circuit that includes the crystal, a second transistor connected in cascade with the first transistor and an RC network. This feedback circuit provides the correct phase shift to achieve and sustain oscillations at the desired overtone frequency.

Journal ArticleDOI
TL;DR: In this paper, an approximate solution for the title problem is obtained by making use of the Galerkin method, where the plate displacement function is approximated by means of a sinusoid multiplied by a polynomial.


Journal ArticleDOI
TL;DR: In this paper, a finite element formulation for the natural vibration analysis of tapered and pretwisted rotors has been presented, and numerical results for natural frequencies for various values of the geometric parameters and rotational speeds, have been computed for the case of rotors with and without pretwist.

Journal ArticleDOI
TL;DR: In this paper, an open tube is considered, driven at one-half of the fundamental frequency and the interesting fact appears that acoustic theory breaks down in the inviscid case at a sufficient intensity of a resonant overtone, the distortion effects become too strong to use an expansion scheme.
Abstract: An open tube is considered, driven at one-half of the fundamental frequency The interesting fact appears that acoustic theory breaks down in the inviscid case At a sufficient intensity of a resonant overtone, the distortion effects become too strong to use an expansion scheme

Journal ArticleDOI
TL;DR: Results show that fundamental frequency is the most prominent cue of stress, followed by intensity and vowel duration, and estimates of stress magnitudes based on these three cues are shown to yield stable values in spite of differences in the vowels used, in speakers, and in syllable positions.
Abstract: This paper presents an automatic method which estimates the magnitude of syllable stress in continuous speech using a composite of three acoustic parameters: fundamental frequency, intensity, and duration. Results show that fundamental frequency is the most prominent cue of stress, followed by intensity and vowel duration. Estimations of stress magnitudes based on these three cues are shown to yield stable values in spite of differences in the vowels used, in speakers, and in syllable positions.


Journal ArticleDOI
TL;DR: In this paper, a new method of finding the relationship between non-linear fundamental frequency of vibration and the amplitude of vibration of plates is explained, using an iteration procedure suggested by Schwarz and also of Berger's equations.

Journal ArticleDOI
TL;DR: In this article, LiNbO3 crystals were pumped with the fundamental frequency and second harmonic of a YAG:Nd3+ picosecond laser (the pulse repetition frequency was up to 25 Hz), and the maximum energy efficiency of conversion was 17% (the energy of the parametric signal in the 2 μ range was 9×10−4 J).
Abstract: Efficient parametric generation of infrared radiation in LiNbO3 crystals was obtained when these crystals were pumped with the fundamental frequency and second harmonic of a YAG:Nd3+ picosecond laser (the pulse repetition frequency was up to 25 Hz). The maximum energy efficiency of conversion was 17% (the energy of the parametric signal in the 2 μ range was 9×10–4 J) and continuous frequency tuning was obtained in the 1365–4825 and 660–2700 nm ranges (for the fundamental frequency and second harmonic, respectively). The possibility of narrowing the width of the output spectrum by the use of a twocrystal system were considered.

Patent
25 Jul 1977
TL;DR: In this paper, a band-rejection filter which rejects harmonic components of the fundamental frequency of the output of a helix type travelling-wave tube is built into the connection of output connection from the tube to its external circuit.
Abstract: A band-rejection filter which rejects harmonic components of the fundamental frequency of the output of a helix type travelling-wave tube is built into the connection of the output connection from the tube to its external circuit. A wide variety of specific filter structures are disclosed.

Patent
05 May 1977
TL;DR: In this paper, the fundamental frequencies of the transmit-receive channels of the system are selected from a series of tentative fundamental frequencies, each having the same geometric relation to the immediately preceding and immediately succeeding fundamental frequencies such that potentially interfering cross talking channels in similar geometric relation may be identified and eliminated.
Abstract: Method and apparatus for providing a multi-channel telemetry system in which the fundamental frequencies of the transmit-receive channels of the system are selected from a series of tentative fundamental frequencies. The successive fundamental frequencies in series therewith each having the same geometric relation to the immediately preceding and immediately succeeding fundamental frequency such that potentially interfering cross talking channels in similar geometric relation may be identified and eliminated.

Journal ArticleDOI
TL;DR: In this paper, a finite element analysis for the large amplitude vibrations of circular plates carrying a concentrated mass is presented, where the variation of the fundamental frequency with the central amplitude is obtained for simply supported and clamped plates for various positions and various magnitudes of the concentrated mass.

Journal ArticleDOI
TL;DR: In this article, a localised ion-beam milling has been used to increase the fundamental frequency of acoustic-bulk-wave resonators, and a monolithic filter in lithium niobate (Y+37°) and lithium tantalate (X) operating at 220 and 230 MHz has been realized.
Abstract: A localised ion-beam milling has been used to increase the fundamental frequency of acoustic-bulk-wave resonators. Monolithic filters in lithium niobate (Y+37°) and lithium tantalate (X) operating, respectively, at 220 and 230 MHz have been realised. The relative bandwidth is equal to 1% and the insertion loss is about 4 dB. An a.t.-cut quartz resonator working in the fundamental mode at 270 MHz with a Q-factor of 12 000 has also been obtained. In this case, the vibrating membrane is 6 μm thick, with a centre portion of diameter 2.5 mm.

Patent
07 Mar 1977
TL;DR: In this article, a voltage controlled AC static power supply of the harmonic neutralization type uses symmetrical digital phase shifting in order to reconstruct, with pulses of variable width and predetermined different magnitudes generated by inverters, a sinusoidal wave of fundamental frequency.
Abstract: A voltage controlled AC static power supply of the harmonic neutralization type uses symmetrical digital phase shifting in order to reconstruct, with pulses of variable width and predetermined different magnitudes generated by inverters, a sinusoidal wave of fundamental frequency. Phase-shifts are obtained digitally from a single pair of frequency signals. Variable length delay lines are used consisting of random-access-memory (RAM) devices in which a selected shift between read and write addresses establishes the desired amount of delay.

Journal ArticleDOI
TL;DR: In this paper, an approximate relationship between the fundamental frequency and the static response of undamped, linearly elastic systems is derived, which is used to calculate the fundamental frequencies of membranes and plates of different geometries and boundary conditions.

PatentDOI
TL;DR: In this article, a tone synthesizer in which a musical tone of a selected fundamental frequency is generated with a resonance effect at selected harmonics of the tone is described, and the resonance effect is produced by adding an amplitude modulated carrier signal to the musical tone, the carrier signal being modulated by a signal having the fundamental frequency of the musical tones and the carrier frequency being an integral multiple of the fundamental.
Abstract: A tone synthesizer in which a musical tone of selected fundamental frequency is generated with a resonance effect at selected harmonics of the tone. The resonance effect is produced by adding an amplitude modulated carrier signal to the musical tone, the carrier signal being modulated by a signal having the fundamental frequency of the musical tone and the carrier frequency being an integral multiple of the fundamental.

Patent
25 Jul 1977
TL;DR: In this article, a low pass filter with a frequency response characteristic which tends to exclude harmonics is used to extract the fundamental frequency from a complex audio wave form and for producing a pulse representation of said fundamental frequency.
Abstract: Apparatus for extracting the fundamental frequency from a complex audio wave form and for producing a pulse representation of said fundamental frequency includes a low pass filter having a frequency response characteristic which tends to exclude harmonics together with a control circuit including amplifier means, peak detector means and voltage to current converter means for supplying a control signal to the low pass filter thereby to vary the cutoff frequency of the filter and to maintain substantially constant amplitude of the fundmental wave form together with voltage comparator means for comparing the peaks of an alternating current quantity dependent upon the output of said filter with a direct current quantity proportional to the output of the filter, said comparator means thereby producing a pulse per cycle of said fundamental frequency.

Patent
08 Nov 1977
TL;DR: In this paper, a magnetic field for coupling to a load is produced by means of apparatus having first and second amplifiers operating in phase opposition and connected to a first oscillating circuit for generating an oscillating voltage of predetermined fundamental frequency.
Abstract: A magnetic field for coupling to a load is produced by means of apparatus having first and second amplifiers operating in phase opposition and connected to a first oscillating circuit for generating a first oscillating voltage of predetermined fundamental frequency, an inductor producing the magnetic field being an element of the first oscillating circuit. A second oscillating circuit connected to the first circuit furnishes a second oscillating voltage having a frequency corresponding to the third harmonic of the fundamental frequency and includes a coil positioned relative to the load in such a manner that substantially no energy is transferred from the coil to the load.