Abstract
It was recognized very early during the development of communications that the possible transmission rate of symbols of a communication channel depended on its frequency respon.se of attenuation and phase shift. For instance, the famous theorem by NYQUIST [1] and KÜPFMÜLLER [2, 3] st ate s that one independent symbol may be transmitted per time interval of duration τ through an idealized frequency lowpass filter of bandwidth Δf, where
.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References ordered by Sections
DOOB, J.L., Stochastic processes, New York: Wiley1953.
VAN DER ZIEL, A., Noise, Englewood Cliffs NJ: Prentice Hall 1954.
RICE, S.O., Mathematical analysis of random noise, Bell System Tech. J. 23(1944),282–332, 24 (1945), 46–156.
SMUIJLIN, D. and H.A.HAUS, Noise in electron devices, New York: Wiley 1959.
BENNETT, W.R., Electrical noise, New York: McGraw-Hill 1960.
DAVENPORT, W.B.jr. and W.L.ROOT, An introduction to the theory of random signals and noise, New York: McGraw-Hill 1958.
SCHWARTZ, M., Information transmission, modulation, and noise, New York: McGraw-Hill 1959.
ROOT, W.L. and T.S.PITCHER, On the Fourier-series expansion of random functions, Annals of Math.Statistics 26 (1955), 313–318.
HAUS, H.A., a.o. IRE standards of methods of measuring noise in linear twoports, Proc.IRE 48(1960),60–68.
DÖRR, K., Die statistische Verteilung der Nulldurchgänge von Rauschspannungen, Archiv elek. Übertragung 19 (1965), 685–698.
SZALAY, G., Die Verteilungsdichte der Intervalle bei einem Rauschsignal mit Schwellwert, Archiv elek.Übertragung 18 (1964), 316–322.
JOHNSON, J.B., Thermal agitationof electricityin. con-ductors, Physical Review 32 (1928), 97–109.
KOTEL’NIKOV, V.A., The theoryof optimum noise immuni-ty (translation of the Russian original published in1947, by R.A.SILVERMAN), New York: McGraw-Hill 1959.
SIEBERT, W.M. and W.L.ROOT, Statistical decision theo-ry and communications, in Lectures on communication sy-stem theory, New York: McGraw-Hill 1961.
MIDDLETON, D., An introductionto statistical communi-cation theory; New York: McGraw-Hill 1960.
WAINSTAIN, L.A. and V.D.ZUBAKOV, Extractionof sign.als from noise, Englewood Cliffs NJ: Prentice Hall 1962.
HARMAN, W.A., Principles of the statistical theory of communj:cation; New York: McGraw-Hill 1963.
WIENER, N., Extrapolation, interpolation and smoothing of stationary time series, New York: MIT Press and Wiley 1949.
HANCOCK, J.C., Signal detection theory, New York: McGraw-Hill 1966.
LEVINSON, N., The Wiener RMS error criterioninfilter design and prediction, J. of Math. and Physics 25 (1947), 261–278.
KOLMOGOROFF,.A., Interpolation and extrapolation of stationary random sequencies, Bulletin de l’académie des sciences de USSR, Ser.Math. 5 (1941), 3–14.
SHERMAN, S., Non-mean square error criteria IRE Trans-actions on Information Theory IT-4(1959)0252126.
BODE, H.W. A simplified derivation of linear least-square smoothing and prediction theory, Proc. IRE 38 (1950), 417–426.
ARTHURS, E. and H.DYM, On.the optimum detection of di-gital signals in the presence of white Gaussian noise, IRE Transactions on Communication Systems CS-10(1962), 336–372.
NORTH, D.O., An analysis of the factors which determine signal/noise discrimination in. pulsed-carrier systems, re-printed in Proc. IEEE 51(1963)0016–1027.
TURIN, G.L., An introduction to matched filters, IRE Transactions on Information Theory IT-6(1960),311–329.
SCHUSSLER, W., tiler den Entwurf optimaler Suchfilter, NTZ 17 (1964), 605–613.
SCHLITT, H., SystemtheoriefiirregelloseVorgänge, Ber-lin/New York: Springer 1960.
ZADEH, L.A. and I.R.RAGAZZINI, Optimum filters forthe detection.of signals innoise, Proc.IRE 40(1952)0123–1131.
PETERSON, E.L., Statistical analysis and optimization of systems, New York: Wiley 1961.
CORRINGTON, M.S. and R.N.ADAMS, Advanced analytical and signal processing techniques: Application of Walshfunctions to nonlinear analysis, Technical Report AD-277942(1962).
WEISER, F.E., Walsh function analysis of instantaneous nonlinear stochastic problems, Thesis, Polytechnic Institute of Brooklyn (1964).
BAGHDADY, E.J., Diversity techniques, in Lectures on communication system theory; New York: McGraw-Hill 1961.
BRENNAN, D.G., Linear diversity combining techniques, Proc. IRE 47 (1959), 1075–1102.
PIERCE, J.N. and S.STEIN, Multiple diversity with non-independent fading, Proc. IRE 48 (1960), 89–104.
PRICE, R., Optimum detection of random signals in noise with application to scatter multipath communications, IRE Transactions on Information Theory IT-2(1956),125–135.
PRICE, R. and P.E. GREEN, A communication technique for multipath channels, Proc.IRE 46 (1958), 555–570.
GLEN, A.B., Comparison of PSK vs FSK and PSK-AM vs FSK-AM binary coded transmission systems, IEEE Transactions on Communication Systems CS-8(1960),87–100.
RIDOUT, P.N. and L.K.WHEELER, Choice of multi-channel telegraph systems for useon HF radio links, Proc.IEE 110 (1963), 1402–1410.
TURIN, G.L., On optimal diversity reception I, IRE Transactions on Information Theory IT-7(1961),154–166.
On optimal diversity reception II, IRE Transactions on Communication Systems CS-10(1962),22–31.
LAW, H.B., The detectability of fading radiotelegraph signals in noise, Proc.IEE 104B(1957),130–140.
VOELCKER, H.B., Phase shift keying in fading channels, Proc.IRE 107B (1960), 31–38.
PIERCE, J.N., Theoretical diversity improvement in frequency-shift keying, Proc.IRE 46(1958),903-910.
ALNATT, J.W., E.D.JONES and H.B.LAW, Frequency diversity in the reception of selective fading binary frequency -modulated signals, Proc.IEE 104B(1957),98–11.0.
BELLO, P.A. and B.D.NELIN, The effect of frequency selective fading on the binary error probabilities of incoherent and differentially coherent matched filter receivers, IEEE Transactions on Communication Systems CS-11 (1963), 170–186.
BESSLICH, Ph., Fehlerwahrscheinlichkeit binärer Übertragungsverfahren bei Störure en durch Rauschen und Schwund, Archiv elek. Übertragung 17 (1963), 185–197.
Fehlerwahrscheinlichkeit binärer Übertragungen bei Mehrfachempfang und frequenz-selektivem Schwund, Archiv elek. Übertragung 17 (1963), 271–277.
ZUHRT, H., Die Summenhäufigkeitskurven der exzentrischen Rayleigh-Verteilung und ihre Anwendung auf Ausbreitungsmessungen, Archiv elek.Übertragung 11(1957),478–484.
HENZE, E., Theoretische Untersuchungen über einige Diversity-Verfahren, Archiv elek. Übertragung 11 (1957), 183–194.
SCHWARTZ, M., W.R.BENNETT and S.STEIN, Communication systems and techniques, New York: McGraw-Hill 1966.
GROSSKOPF, J., M.SCHOLZ and K.VOGT, Korrelationsmes-sungen im Kurzwellenbereich, NTZ 11 (1958), 91–95.
NYQUIST, H., Certain topics in telegraph transmission theory, Transactions AIEE 47 (1928), 617–644.
KUPFMULLER, K., ‘Ober Einschwingvorgänge in Wellenfil-tern, Elektrische Nachrichten-Technik 1(1924)041–152.
Ausgleichsvorgänge und Frequenzcharakteristiken in linearen Systemen, Elektrische Nachrichten-Technik 5 (1928), 18–32.
HARTLEY, R.V.L., Transmissionof information, Bell Sy-stem Tech.J. 7 (1928), 535–563.
KUPFKILLER, K., Die Systemtheorie der elektrischen Nachrichtenübertragung, Stuttgart: Hirzel 1952.
SHANNON, C.E., A mathematical theoryof communication, Bell System Tech.J. 27(1948),379–423, 623–656.
Communication in the presence of noise, Proc. IRE 37 (1949), 10–21.
FANO, R.M., Transmission of information, New York: MIT Press and Wiley 1961.
SCHMIDT, K.O., Vorschläge zur Berechnung der wirkli-chen Kanalkapazität beim Vorhandensein vonVerlusten auf dem tbertragungswege, Archiv elek. Ubertragung 8 (1954), 19–26.
ZEMANEK, H., Elementare Informationstheorie,Wien: 01- denburg 1959.
FEY, P., Informationstheorie, Berlin: Akademie 1963.
SOMMERVILLE, D.M.Y., An introduction to the geometry of N dimensions, New York: Dutton 1929.
MADELUNG, E., Die mathematischen Hilfsmittel des Phy-sikers, Berlin/New York: Springer 1957.
HARMUTH, H., Die ttbertragungskapazität von Nachrich-tenkanälen nach der Verallgemeinerung des Begriffes Fre-quenz, Archiv elek. tlbertragung 19(1965)025–133.
SOMMERFELD, A., Uber die Fortpflanzung des Lichtes in dispergierenden Medien, Ann.Phys. 44 (1914), 177–202.
DAVENPORT, W.B.Jr. and W.L.ROOT, An introduction to the theoryof random signals and noise, New York: McGraw-Hill 1958.
HARMAN, W.W., Principles of the statistical theory of communication, New Yorkt McGraw-Hill 1963.
WAINSTEIN, L.A. and V.D. ZUBAKOV, Extraction of sig-nalsfromnoise, Englewood Cliffs NJ: Prentice Hall 1962.
HARMUTH, H., P.E.SCHMID and H.S.DUDLEY, Multiple ac- cess communication with binary orthogonal sine and cosine pulses using heavy amplitude clipping, 1968 IEEE Int. Conf.on Communications Record pp. 794–799.
VAN VLECK, J.H., and D.MIDDLETON, The spectrum of clip-ped noise, Proc.IEEE 54 (1966), 2–19.
SUNDE, E.D., Ideal binarypulse transmission. by AM and FM, Bell System Tech.J. 38(1959),1357–1426.
AIKENS, A.J. and D.A.LEWINSKI, Evaluation of message circuit noise, Bell System Tech.J. 39 (1960), 879–909.
SMITH, D.B. and W.E.BRADLEY, The theory of impulse noise in ideal frequency-modulation receivers, Proc. IRE
),743–751.
BENNETT, W.R., Electrical noise, New York: McGraw-Hill 1960.
STUMPERS, F.L., On the calculation of impulse-noise transients infrequency-modulation receivers, Philips Re-search Repts. 2 (1947), 468–474.
HARMUTH, H., Kodierenmitorthogonalen Funktionen, Ar-chiv elek. Ubertragung 17(1963),429–437,508–518.
HAMMING, R.W., Error detecting and error correcting codes, Bell System Tech.J. 29 (1950), 147–160.
SLEPIAN, D., A class of binary signaling alphabets, Bell System Tech.J. 35 (1956), 203–234.
WOZENCRAFT, J.M. and B.REIFFEN, Sequential decoding, New York: MIT Press and Wiley 1961.
GALLAGER, R.G., Low-density parity-check codes, Cam-bridge, Mass.: MIT-Press 1963.
MULLER, D.E., Applicationof Boolean algebrato switch-ing circuit design and to error detection, IRE Transactions on Electronic Computers EC-3(1954),6–12.
PETERSON, W.W., Error correcting codes, New York: MIT Press and Wiley 1961.
Progress of information theory 1960–63, IEEE Trans-actions on Information Theory IT-10(1963),21–264.
LEE, C.Y., Some properties of non-binary error correc-ting codes, IRE Transactions on Information Theory IT-4
-82.
ULRICH, W. Non-binary error correcting codes, Bell System Tech.J. 36 (1957), 1341–1388.
REED, I.S., A class of multiple-error-correcting codes and the decoding scheme, IRE Transactions on Information Theory IT-4(1954),38–49.
WEISS, P., Uber die Verwendung von Walshfunktionen in der Codierungstheorie, Archivelek. Ubertragung 21 (1967), 255–258.
GOLOMB, S.W., L.D.BAUMERT, M.F.EASTERLING, J.J.STIFF-LER and A. J.VITERBI, Digital communications, Englewood Cliffs NJ: Prentice Hall 1964.
HARMUTH, H., Orthogonal codes, Proc. IEE 107C (1960), 242–248.
ARONSTEIN, R.H., Comparison of orthogonal and block codes, Proc. IEE 110 (1963), 1965–1967.
HSIEH, P. and M.Y.HSIAO, Several classes of codes generated from orthogonal functions, IEEE Transactions on Information Theory IT-10(1964),88–91.
FANO, R. Communication in the presence of additive Gaussian noise, in Communication Theory, New York: Academic Press 1953.
LACHS, G., Optimization of signal waveforms, IEEE Trans-actions on Information Theory IT-9(1963),95–97.
PALEY, R.E., On orthogonal matrices, J.Math. and Physics 12 (1933), 311–320.
STANTON, R.G. and D.A. SPROTT, A family of difference sets, Canadian J.of Math. 10 (1958), 73–77.
BOSE, R.C. and S.S.SHRIKANDE, A note on a result in the theory of code construction, Information and Control 2(1959)083–194.
NEIDHARDT, P. Informationstheorie und automatische Informationsverarbeitung, Berlin: Verlag Technik 1964.
WOOD, H., Random normal deviates, Tracts for Computers 25, London: Cambridge University Press 1948.
US Department of Commerce, Handbook of mathematical functions, National Bureau of Standards Applied Mathematical Series 55, Washington DC: US Government Printing Office 1964.
The RAND Corporation, A million random digits with 100 000 normal deviates, Glencoe Ill.: The Free Press1955.
PETERSON, W.W., Error correcting codes, New York: MIT Press and Wiley 1961.
ETIAS, P., Error-free coding, IRE Transactions on Information Theory IT-4(1954),29–37.
HARMUTH, H., Kodieren mit orthogonalen Functionen, II. Kombinations-Alphabete und Minimum-Energie-Alphabete, Archiv elek. tibertragung 17 (1963), 508–518.
KASACK, U., Korrelationsempfang von Buchstaben in binärer bzw. ternärer Darstellung bei Bandbegrenzungen und gaußschem Rauschen, Archiv elek. Übertragung 22 (1968), 487–493.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1969 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Harmuth, H.F. (1969). Signal Design for Improved Reliability. In: Transmission of Information by Orthogonal Functions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13227-2_7
Download citation
DOI: https://doi.org/10.1007/978-3-662-13227-2_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-13229-6
Online ISBN: 978-3-662-13227-2
eBook Packages: Springer Book Archive