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Exploiting Chaos is the quintessential road map for all those who seek op- portunity companies have risen from chaos, and he provides a toolkit that manag-. Chaos Permits You to. Think Differently. Page 8 by Jeremy Gutsche. Exploiting Chaos. Ways to Spark Innovation. During Times of Change. THE SUMMARY . Greetings! To kick off the new year, we have made Trend Hunter's award-winning innovation book free as a PDF. So, you can browse it free online with videos.
Anyhow, the real gem here isn't the anecdotes that you get from the book, but the ideas, impetus, or kick-in-the-pants or whatever you want to call it - that you may get from reading it. One by one, the monkeys were replaced until none of the original five were in the cage. Test and launch Submit your own Neatorama post and vote for others' posts to earn NeatoPoints that you can redeem T-shirts, hoodies and more over at the NeatoShop! The camels are coming?
Launched in , the cereal dominated the marketplace leading up to the s. As the Great Depression tightened its angry claws on America, Post found itself hungry for cash.
The prominent cereal maker assumed they "owned" the market. How could anyone stop lusting for Grape-Nuts? Accordingly, advertising budgets were cut to weather the storm. As the managers of Post reclined in their rawhide chairs, bracing for a slow economy, a hungry tiger lurked in the shadows. That tiger was the Kellogg Company. Their mascot, Tony the Tiger, had not yet appeared, but his insatiable spirit was already born.
While Post retreated, Kellogg doubled their ad spend. In their campaigns introduced slogans like "Snap!
The investment paid off. Americans loved the message and sales began to grow. Kellogg's became the go-to pick for breakfast cereal and your great-grandfather abandoned his beloved Post Grape-Nuts.
The upbeat impact of a crisis is that competitors become mediocre, and the ambitious find ways to grow. For such a serious topic, the book Exploiting Chaos is a rather breezy read. Jeremy himself acknowledged that our reading habits have changed I blame texting - you can browse the colorful book in a sitting. Anyhow, the real gem here isn't the anecdotes that you get from the book, but the ideas, impetus, or kick-in-the-pants or whatever you want to call it - that you may get from reading it.
The dashed line represents the stable regime for a 2 bit modulator and the dot-dot-dashed line for a 3 bit modulator System 3.
For gain applied to the error, the dotted line represents the stable regime for the 1 bit case System 2 , and the dot-dashed line represents the stable regime for the 2 bit case System 4. Figure 2. The bifurcation diagrams for System 1 a and System 2 b with 0 input. The stable regime is increased if the gain is applied to the difference between the quantizer output and the System 2 has a slightly different bifurcation diagram integrator output Equation 3.
For a 1 bit quantizer, Figure 2b.
Here, the integrator output does not sigma delta modulator. The full range of integrator output is between —2 bounded integrator output.
It may seem problematic at first, since Quantization Error the expected input, X, is between —1 and 1. However, as shall be seen later, as long as the average One requirement for SDM is that the quantizer output integrator output sufficiently approximates the input, approximate the input signal. With unity gain, Equation 5 holds for the single and multibit, first order sigma delta modulators. Using a multibit modulator is not Figure 5.
Clockwise from top-left.
The average sufficient to alleviate this problem. This is a quantized output as a function of the input for a 1 bit, fundamental problem that is often overlooked in the 2 bit, 3 bit, and 4 bit sigma delta modulator with gain literature.
The gain is set to 1. The 45 degree line represents the ideal quantization. Symbol Sequences On a practical level the output prior to quantization is not of primary concern. More importantly, the quantized output must accurately encode the input signal without producing idle tones.
That is, tones which are not present in the analog input may appear in the digital output. One proposed method of eliminating these tones is to operate the sigma delta modulator in the chaotic regime. Although the output will still approximate the input, limit cycles might be eliminated.
As an Figure 4.
The 45 degree line represents the ideal average quantization. The modified modulator of 3 behaves quite differently. Figure 5 shows that this modulator, although assuming discrete values, still approximates the input. As the number of bits used by the quantizer is increased, the average quantized output approaches the average quantized output of an ideal sigma delta modulator. Figure 6. The permissible 7 bit sequences that can be generated using a first order, single bit sigma delta modulator.
System 2. A sliding window of seven bits was The idle tones have been replaced by chaotic applied to produce output sequences in the range fluctuations similar to broadband noise. This noise to 0 to A cyclic symbol can be filtered, thus leaving only the frequencies that sequence would be counted as multiple sequences, were apparent in the original signal. This figure is the same Conclusions for both System 1 and System 2.
If instead the gain is applied to the Power Spectra error in quantization, then the sigma delta modulator may achieve accurate quantization over a far greater One reason to attempt SDM in the chaotic regime is range of input. For this reason, the power spectrum is staircase structure are minimized. This has the benefit an appropriate tool. Bibliography 1W. Chou and R.
Magrath and M. Sandler, Electronic Letters 31 4